Nenad Petrovic | University of Kragujevac, Serbia (original) (raw)

Papers by Nenad Petrovic

Research paper thumbnail of Comparing Truss Sizing and Shape Optimization Effects for 17 Bar Truss Problem

Advanced Engineering Letters

This article aims to demonstrate the difference in results for minimal weight optimization for a ... more This article aims to demonstrate the difference in results for minimal weight optimization for a 17 bar truss sizing and shape optimization problem. In order to attain results which can be produced in practice Euler bucking, minimal element length, maximal stress and maximal displacement constraints were used. Using the same initial setup, optimization was conducted using particle swarm optimization algorithm and compared to genetic algorithm. Optimal results for both algorithms are compared to initial values which are analytically calculated. The individual element lengths are observed, along with the overall weight, surface area and included number of different cross-sections.

Research paper thumbnail of Comparison of Approaches to 10 Bar Truss Structural Optimization with Included Buckling Constraints

The complex problem of truss structural optimization, based on the discrete design variables assu... more The complex problem of truss structural optimization, based on the discrete design variables assumption, can be approached through optimizing aspects of sizing, shape, and topology or their combinations. This paper aims to show the differences in results depending on which aspect, or combination of aspects of a standard 10 bar truss problem is optimized. In addition to standard constraints for stress, cross section area, and displacement, this paper includes the dynamic constraint for buckling of compressed truss elements. The addition of buckling testing ensures that the optimal solutions are practically applicable. An original optimization approach using genetic algorithm is verified through comparison with literature, and used for all the optimization combinations in this research. The resulting optimized model masses for sizing, shape, and topology or their combinations are compared. A discussion is given to explain the results and to suggest which combination would be best in a...

Research paper thumbnail of Euler Buckling and Minimal Element Length Constraints in Sizing and Shape Optimization of Planar Trusses

Machine and Industrial Design in Mechanical Engineering, 2022

Research paper thumbnail of Comparative Composite and Conventional Drive Shaft Analysis

The automobile industry has seen a growth in implementation of composite materials in the past ye... more The automobile industry has seen a growth in implementation of composite materials in the past years, however it is still a slow process, as the material properties for various load cases is still being researched. Following this trend of using lightweight materials to replace steel components more and more parts are being produced using composites. However composites are still most frequently found in static and cosmetic elements. Drive shafts made of composites have most recently been featured in some BMW M series models. Use of composite materials for propulsion components is still a developing field of study. Drive shafts (cardan shafts) are main driving components for transferring torque in vehicles. The use of composite materials for making drive shafts implies decreasing the mass compared to conventional material shafts. In the use of composite materials the orientation of fibers plays an important role in load distribution and stress characteristics. Depending on the load ca...

Research paper thumbnail of Efficiency Analysis of New Two-Stage Cycloid Drive Concept

Tribology in Industry, 2020

Research paper thumbnail of Effects of Structural Optimization on Practical Roof Truss Construction

Applied Engineering Letters : Journal of Engineering and Applied Sciences, 2020

Research paper thumbnail of Effects of introducing dynamic constraints for buckling to truss sizing optimization problems

Research paper thumbnail of Analysis of Efficiency of a New Two Stage Cycloid Drive Concept

Proceedings on Engineering Sciences, 2019

Research paper thumbnail of Determining efficiency of cycloid reducers using different calculation methods

MATEC Web of Conferences, 2019

Cycloid reducers are gear trains which can be classified as planetary transmissions. These transm... more Cycloid reducers are gear trains which can be classified as planetary transmissions. These transmissions have a very wide range of uses in industry in transporters, robots, satellites, etc. This research presents a comparative analysis of three analytical methods for determining cycloid drive efficiency. The paper explores every mathematically formulated method and compares them to experimental results from literature. The presented methods for determining efficiency have a common property, in that they all determine losses due to friction on the bearing cam surface of the shaft, the rollers of the central gear and the output rollers. The calculation of efficiency values is done for standard power values. The methods differ primarily in the way they calculate losses. For each method of calculating efficiency there is an analysis of pros and cons. The paper concludes with suggestions as well as possible directions for further research.

Research paper thumbnail of Determination of Real Clearances Between Cycloidal Speed Reducer Elements by the Application of Heuristic Optimization

Transactions of FAMENA, 2018

Research paper thumbnail of Automated Selection of Analytically Calculated Gearbox Concepts According to Dimensional Criteria

Mobility and Vehicle Mechanics, 2019

Research paper thumbnail of Influence of Using Discrete Cross-Section Variables for All Types of Truss Structural Optimization with Dynamic Constraints for Buckling

Applied Engineering Letters : Journal of Engineering and Applied Sciences, 2018

Research paper thumbnail of Means and Effects оf Constraining the Number of Used Cross-Sections in Truss Sizing Optimization

Transactions of FAMENA, 2020

Research paper thumbnail of MEANS AND EFFECTS OF CONSTRAINING THE NUMBER OF USED CROSS-SECTIONS IN TRUSS SIZING OPTIMIZATION

Transactions of FAMENA, 2020

This paper looks at sizing optimization results, and attempts to show the practical implications ... more This paper looks at sizing optimization results, and attempts to show the practical implications of using a novel constraint. Most truss structural optimization problems, which consider sizing in order to minimize weight, do not consider the number of different cross-sections that the optimal solution can have. It was observed that all, or almost all, cross-sections were different when conducting the sizing optimization. In practice, truss structures have a small, manageable number of different cross-sections. The constraint of the number of different cross-sections, proposed here, drastically increases the complexity of solving the problem. In this paper, the number of different cross-sections is limited, and optimization is done for four different sizing optimization problems. This is done for every number of different cross-section profiles which is smaller than the number of cross-sections in the optimal solution, and for a few numbers greater than that number. All examples are optimized using dynamic constraints for Euler buckling and discrete sets of cross-section variables. Results are compared to the optimal solution without a constrained number of different cross-sections and to an optimal model with just a single cross-section for all elements. The results show a small difference between optimal solutions and the optimal solutions with a limited number of different profiles which are more readily applicable in practice.

Research paper thumbnail of INFLUENCE OF USING DISCRETE CROSS-SECTION VARIABLES FOR ALL TYPES OF TRUSS STRUCTURAL OPTIMIZATION WITH DYNAMIC CONSTRAINTS FOR BUCKLING

The use of continuous variables for cross-sectional dimensions in truss structural optimization g... more The use of continuous variables for cross-sectional dimensions in truss structural optimization gives solutions with a large number of different cross sections with specific dimensions which in practice would be expensive, or impossible to create. Even slight variations from optimal sizes can result in unstable structures which do not meet constraint criteria. This paper shows the influence of the use of discrete cross section sizes in optimization and compares results to continuous variable counterparts. In order to achieve the most practically applicable design solutions, Euler buckling dynamic constraints are added to all models. A typical space truss model from literature, which use continuous variables, is compared to the discrete variable models under the same conditions. The example model is optimized for minimal weight using sizing and all possible combinations of shape and topology optimizations with sizing.

Research paper thumbnail of Effects of Introducing Dynamic Constraints for Buckling to Truss Sizing Optimization Problems

In this paper the effects of adding buckling constraints to truss sizing optimization for minimiz... more In this paper the effects of adding buckling constraints to truss sizing optimization for minimizing mass are investigated. Introduction of buckling testing increases the complexity of the optimization process as Euler buckling criteria changes with each iteration of the optimization process due to the changes in element cross section dimensions. The resulting models which consider this criteria are practically applicable. For the purposes of showing the effects of dynamic constraints for buckling, optimal parametric standard test models of 10 bar, 17 bar, and 25 bar trusses from the literature are tested for buckling and compared to the models with the added constraint. Models which do not consider buckling criteria have a considerable number of elements which do not meet buckling criteria. The masses of these models are substantially smaller than their counterparts which consider buckling.

Research paper thumbnail of INFLUENCE OF USING DISCRETE CROSS-SECTION VARIABLES FOR ALL TYPES OF TRUSS STRUCTURAL OPTIMIZATION WITH DYNAMIC CONSTRAINTS FOR BUCKLING

The use of continuous variables for cross-sectional dimensions in truss structural optimization g... more The use of continuous variables for cross-sectional dimensions in truss structural optimization gives solutions with a large number of different cross sections with specific dimensions which in practice would be expensive, or impossible to create. Even slight variations from optimal sizes can result in unstable structures which do not meet constraint criteria. This paper shows the influence of the use of discrete cross section sizes in optimization and compares results to continuous variable counterparts. In order to achieve the most practically applicable design solutions, Euler buckling dynamic constraints are added to all models. A typical space truss model from literature, which use continuous variables, is compared to the discrete variable models under the same conditions. The example model is optimized for minimal weight using sizing and all possible combinations of shape and topology optimizations with sizing.

Research paper thumbnail of DISCRETE VARIABLE TRUSS STRUCTURAL OPTIMIZATION USING BUCKLING DYNAMIC CONSTRAINTS

Using continuous variables in truss structural optimization results in solutions which have a lar... more Using continuous variables in truss structural optimization results in solutions which have a large number of different cross section sizes whose specific dimensions would in practice be difficult or expensive to create. This approach also creates optimal models which if varied, even slightly, result in structures which do not meet constraint criteria. This research proposes the discretization of cross section sizes to standard sizes of stock produced for the particular cross section and material, and a 1mm precision for node location when using shape optimization. Additionally, Euler buckling constraints are added to all models in order to achieve optimal solutions which can find use in practical application. Several standard test models of trusses from literature, which use continuous variables, are compared to the discrete variable models under the same conditions. Models are optimized for minimal weight using sizing, shape, topology, and combinations of these approaches.

Research paper thumbnail of SIZING OPTIMIZATION OF PARAMETRICALLY DESIGNED TRUSSES

In this paper parametric modeling of sizing optimization truss models is developed. Sizing optimi... more In this paper parametric modeling of sizing optimization truss models is developed. Sizing optimization of trusses views element cross-sections as variables with the goal of minimizing overall mass while maintaining equivalent stresses within acceptable ranges, as well as limiting displacement. In order to conduct such a process, models needs to be created with parameters, and outputs which can be used to create an objective function. Furthermore the models in each iteration of the optimization are subjected to finite element analyses to determine stress. Parametric models of standard 10 bar, 17 bar, and 25 bar trusses are created to facilitate optimization. The heuristic optimization method used is genetic algorithm. Optimization results obtained from these models are compared to those from literature and the initial model.

Research paper thumbnail of COMPARISON OF APPROACHES TO 10 BAR TRUSS STRUCTURAL OPTIMIZATION WITH INCLUDED BUCKLING CONSTRAINTS

Applied Engineering Letters, 2017

The complex problem of truss structural optimization, based on the discrete design variables assu... more The complex problem of truss structural optimization, based on the discrete design variables assumption, can be approached through optimizing aspects of sizing, shape, and topology or their combinations. This paper aims to show the differences in results depending on which aspect, or combination of aspects of a standard 10 bar truss problem is optimized. In addition to standard constraints for stress, cross section area, and displacement, this paper includes the dynamic constraint for buckling of compressed truss elements. The addition of buckling testing ensures that the optimal solutions are practically applicable. An original optimization approach using genetic algorithm is verified through comparison with literature, and used for all the optimization combinations in this research. The resulting optimized model masses for sizing, shape, and topology or their combinations are compared. A discussion is given to explain the results and to suggest which combination would be best in a generalized example.

Research paper thumbnail of Comparing Truss Sizing and Shape Optimization Effects for 17 Bar Truss Problem

Advanced Engineering Letters

This article aims to demonstrate the difference in results for minimal weight optimization for a ... more This article aims to demonstrate the difference in results for minimal weight optimization for a 17 bar truss sizing and shape optimization problem. In order to attain results which can be produced in practice Euler bucking, minimal element length, maximal stress and maximal displacement constraints were used. Using the same initial setup, optimization was conducted using particle swarm optimization algorithm and compared to genetic algorithm. Optimal results for both algorithms are compared to initial values which are analytically calculated. The individual element lengths are observed, along with the overall weight, surface area and included number of different cross-sections.

Research paper thumbnail of Comparison of Approaches to 10 Bar Truss Structural Optimization with Included Buckling Constraints

The complex problem of truss structural optimization, based on the discrete design variables assu... more The complex problem of truss structural optimization, based on the discrete design variables assumption, can be approached through optimizing aspects of sizing, shape, and topology or their combinations. This paper aims to show the differences in results depending on which aspect, or combination of aspects of a standard 10 bar truss problem is optimized. In addition to standard constraints for stress, cross section area, and displacement, this paper includes the dynamic constraint for buckling of compressed truss elements. The addition of buckling testing ensures that the optimal solutions are practically applicable. An original optimization approach using genetic algorithm is verified through comparison with literature, and used for all the optimization combinations in this research. The resulting optimized model masses for sizing, shape, and topology or their combinations are compared. A discussion is given to explain the results and to suggest which combination would be best in a...

Research paper thumbnail of Euler Buckling and Minimal Element Length Constraints in Sizing and Shape Optimization of Planar Trusses

Machine and Industrial Design in Mechanical Engineering, 2022

Research paper thumbnail of Comparative Composite and Conventional Drive Shaft Analysis

The automobile industry has seen a growth in implementation of composite materials in the past ye... more The automobile industry has seen a growth in implementation of composite materials in the past years, however it is still a slow process, as the material properties for various load cases is still being researched. Following this trend of using lightweight materials to replace steel components more and more parts are being produced using composites. However composites are still most frequently found in static and cosmetic elements. Drive shafts made of composites have most recently been featured in some BMW M series models. Use of composite materials for propulsion components is still a developing field of study. Drive shafts (cardan shafts) are main driving components for transferring torque in vehicles. The use of composite materials for making drive shafts implies decreasing the mass compared to conventional material shafts. In the use of composite materials the orientation of fibers plays an important role in load distribution and stress characteristics. Depending on the load ca...

Research paper thumbnail of Efficiency Analysis of New Two-Stage Cycloid Drive Concept

Tribology in Industry, 2020

Research paper thumbnail of Effects of Structural Optimization on Practical Roof Truss Construction

Applied Engineering Letters : Journal of Engineering and Applied Sciences, 2020

Research paper thumbnail of Effects of introducing dynamic constraints for buckling to truss sizing optimization problems

Research paper thumbnail of Analysis of Efficiency of a New Two Stage Cycloid Drive Concept

Proceedings on Engineering Sciences, 2019

Research paper thumbnail of Determining efficiency of cycloid reducers using different calculation methods

MATEC Web of Conferences, 2019

Cycloid reducers are gear trains which can be classified as planetary transmissions. These transm... more Cycloid reducers are gear trains which can be classified as planetary transmissions. These transmissions have a very wide range of uses in industry in transporters, robots, satellites, etc. This research presents a comparative analysis of three analytical methods for determining cycloid drive efficiency. The paper explores every mathematically formulated method and compares them to experimental results from literature. The presented methods for determining efficiency have a common property, in that they all determine losses due to friction on the bearing cam surface of the shaft, the rollers of the central gear and the output rollers. The calculation of efficiency values is done for standard power values. The methods differ primarily in the way they calculate losses. For each method of calculating efficiency there is an analysis of pros and cons. The paper concludes with suggestions as well as possible directions for further research.

Research paper thumbnail of Determination of Real Clearances Between Cycloidal Speed Reducer Elements by the Application of Heuristic Optimization

Transactions of FAMENA, 2018

Research paper thumbnail of Automated Selection of Analytically Calculated Gearbox Concepts According to Dimensional Criteria

Mobility and Vehicle Mechanics, 2019

Research paper thumbnail of Influence of Using Discrete Cross-Section Variables for All Types of Truss Structural Optimization with Dynamic Constraints for Buckling

Applied Engineering Letters : Journal of Engineering and Applied Sciences, 2018

Research paper thumbnail of Means and Effects оf Constraining the Number of Used Cross-Sections in Truss Sizing Optimization

Transactions of FAMENA, 2020

Research paper thumbnail of MEANS AND EFFECTS OF CONSTRAINING THE NUMBER OF USED CROSS-SECTIONS IN TRUSS SIZING OPTIMIZATION

Transactions of FAMENA, 2020

This paper looks at sizing optimization results, and attempts to show the practical implications ... more This paper looks at sizing optimization results, and attempts to show the practical implications of using a novel constraint. Most truss structural optimization problems, which consider sizing in order to minimize weight, do not consider the number of different cross-sections that the optimal solution can have. It was observed that all, or almost all, cross-sections were different when conducting the sizing optimization. In practice, truss structures have a small, manageable number of different cross-sections. The constraint of the number of different cross-sections, proposed here, drastically increases the complexity of solving the problem. In this paper, the number of different cross-sections is limited, and optimization is done for four different sizing optimization problems. This is done for every number of different cross-section profiles which is smaller than the number of cross-sections in the optimal solution, and for a few numbers greater than that number. All examples are optimized using dynamic constraints for Euler buckling and discrete sets of cross-section variables. Results are compared to the optimal solution without a constrained number of different cross-sections and to an optimal model with just a single cross-section for all elements. The results show a small difference between optimal solutions and the optimal solutions with a limited number of different profiles which are more readily applicable in practice.

Research paper thumbnail of INFLUENCE OF USING DISCRETE CROSS-SECTION VARIABLES FOR ALL TYPES OF TRUSS STRUCTURAL OPTIMIZATION WITH DYNAMIC CONSTRAINTS FOR BUCKLING

The use of continuous variables for cross-sectional dimensions in truss structural optimization g... more The use of continuous variables for cross-sectional dimensions in truss structural optimization gives solutions with a large number of different cross sections with specific dimensions which in practice would be expensive, or impossible to create. Even slight variations from optimal sizes can result in unstable structures which do not meet constraint criteria. This paper shows the influence of the use of discrete cross section sizes in optimization and compares results to continuous variable counterparts. In order to achieve the most practically applicable design solutions, Euler buckling dynamic constraints are added to all models. A typical space truss model from literature, which use continuous variables, is compared to the discrete variable models under the same conditions. The example model is optimized for minimal weight using sizing and all possible combinations of shape and topology optimizations with sizing.

Research paper thumbnail of Effects of Introducing Dynamic Constraints for Buckling to Truss Sizing Optimization Problems

In this paper the effects of adding buckling constraints to truss sizing optimization for minimiz... more In this paper the effects of adding buckling constraints to truss sizing optimization for minimizing mass are investigated. Introduction of buckling testing increases the complexity of the optimization process as Euler buckling criteria changes with each iteration of the optimization process due to the changes in element cross section dimensions. The resulting models which consider this criteria are practically applicable. For the purposes of showing the effects of dynamic constraints for buckling, optimal parametric standard test models of 10 bar, 17 bar, and 25 bar trusses from the literature are tested for buckling and compared to the models with the added constraint. Models which do not consider buckling criteria have a considerable number of elements which do not meet buckling criteria. The masses of these models are substantially smaller than their counterparts which consider buckling.

Research paper thumbnail of INFLUENCE OF USING DISCRETE CROSS-SECTION VARIABLES FOR ALL TYPES OF TRUSS STRUCTURAL OPTIMIZATION WITH DYNAMIC CONSTRAINTS FOR BUCKLING

The use of continuous variables for cross-sectional dimensions in truss structural optimization g... more The use of continuous variables for cross-sectional dimensions in truss structural optimization gives solutions with a large number of different cross sections with specific dimensions which in practice would be expensive, or impossible to create. Even slight variations from optimal sizes can result in unstable structures which do not meet constraint criteria. This paper shows the influence of the use of discrete cross section sizes in optimization and compares results to continuous variable counterparts. In order to achieve the most practically applicable design solutions, Euler buckling dynamic constraints are added to all models. A typical space truss model from literature, which use continuous variables, is compared to the discrete variable models under the same conditions. The example model is optimized for minimal weight using sizing and all possible combinations of shape and topology optimizations with sizing.

Research paper thumbnail of DISCRETE VARIABLE TRUSS STRUCTURAL OPTIMIZATION USING BUCKLING DYNAMIC CONSTRAINTS

Using continuous variables in truss structural optimization results in solutions which have a lar... more Using continuous variables in truss structural optimization results in solutions which have a large number of different cross section sizes whose specific dimensions would in practice be difficult or expensive to create. This approach also creates optimal models which if varied, even slightly, result in structures which do not meet constraint criteria. This research proposes the discretization of cross section sizes to standard sizes of stock produced for the particular cross section and material, and a 1mm precision for node location when using shape optimization. Additionally, Euler buckling constraints are added to all models in order to achieve optimal solutions which can find use in practical application. Several standard test models of trusses from literature, which use continuous variables, are compared to the discrete variable models under the same conditions. Models are optimized for minimal weight using sizing, shape, topology, and combinations of these approaches.

Research paper thumbnail of SIZING OPTIMIZATION OF PARAMETRICALLY DESIGNED TRUSSES

In this paper parametric modeling of sizing optimization truss models is developed. Sizing optimi... more In this paper parametric modeling of sizing optimization truss models is developed. Sizing optimization of trusses views element cross-sections as variables with the goal of minimizing overall mass while maintaining equivalent stresses within acceptable ranges, as well as limiting displacement. In order to conduct such a process, models needs to be created with parameters, and outputs which can be used to create an objective function. Furthermore the models in each iteration of the optimization are subjected to finite element analyses to determine stress. Parametric models of standard 10 bar, 17 bar, and 25 bar trusses are created to facilitate optimization. The heuristic optimization method used is genetic algorithm. Optimization results obtained from these models are compared to those from literature and the initial model.

Research paper thumbnail of COMPARISON OF APPROACHES TO 10 BAR TRUSS STRUCTURAL OPTIMIZATION WITH INCLUDED BUCKLING CONSTRAINTS

Applied Engineering Letters, 2017

The complex problem of truss structural optimization, based on the discrete design variables assu... more The complex problem of truss structural optimization, based on the discrete design variables assumption, can be approached through optimizing aspects of sizing, shape, and topology or their combinations. This paper aims to show the differences in results depending on which aspect, or combination of aspects of a standard 10 bar truss problem is optimized. In addition to standard constraints for stress, cross section area, and displacement, this paper includes the dynamic constraint for buckling of compressed truss elements. The addition of buckling testing ensures that the optimal solutions are practically applicable. An original optimization approach using genetic algorithm is verified through comparison with literature, and used for all the optimization combinations in this research. The resulting optimized model masses for sizing, shape, and topology or their combinations are compared. A discussion is given to explain the results and to suggest which combination would be best in a generalized example.