Vibrations and explanations (original) (raw)
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Abstract
Studying Control system and came through Damped Vibrations, so this is good notes for you free of cost.
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A Modular Approach To Vibrations
2001 Annual Conference Proceedings
An undergraduate vibration course has been presented in a modular form to improve student participation and understanding. The new modular format highlights the key concepts and tools required to perform vibration analysis on both single (SDOF) and multiple degree-of-freedom (MDOF) systems. The traditional approach, placing MDOF late in the semester, emphasizes the SDOF model and leaves the students with an oversimplified view of vibrations. A reorganization of the material found in most vibration texts encourages the students to strengthen their system analysis skills. Module 1 covers the modeling of systems, both SDOF and MDOF. This has been a stumbling block for students thus needing a more focused approach. An early introduction of Lagrange's equations has strengthened students' ability to model complex engineering systems mathematically. Module 2 presents the tools required to carry out future analysis, such as matrix methods, complex notation, and MATLAB. Module 3 encourages physical understanding of the dynamic response of 1 and 2 DOF systems using an air-track demonstration unit. Observing and measuring actual system response motivates the students to understand the upcoming mathematical development. Module 4, the analytical heart of the course, presents free and forced responses for SDOF and MDOF systems. Equations are more easily understood because they correlate to observations made during Module 3. The course ends with Module 5, practical applications. Lack of interest in the subject Modeling concepts, real systems transformed into SDOF/MDOF models Application of dynamic principles to obtain equations of motion Mathematical ability to deal with solution of differential equations Getting lost in the details
Journal of Mechanical Engineering Research, 2018
The unhealthy and destructive motion exhibited in moving, operating or rotating machinery is called vibration. It is also observed as any oscillatory motion of a mechanical system about its equilibrium point. Clearly, vibration can thus be unhealthy and destructive which is the reason for its undesirability. However, it can also be good and useful as observed in some mechanical and construction equipment. Vibration can be observed in pendulum set in motion, a plucked guitar string, vehicles driven on rough terrain and geological activities like earthquakes. It is also observed in vibratory conveyors, washing machines, electric massaging units, compactors, hoppers and the like. Thus the focus of vibration study is to reduce vibration through proper design of machines and their mountings. In this connection, the mechanical engineer tries to design the engine or machine to minimize imbalance, while the structural engineer tries to design the supporting structure to ensure that the effect of the imbalance is harmless. In spite of its detrimental effects, vibration can be utilized profitably in several consumer and industrial applications. The efficiency of certain machining, casting, forging, and welding processes has been found to be improved by vibration. It is also employed to simulate earthquakes for geological research and to conduct studies in the design of nuclear reactors. Clearly, vibration studies concentrated on the undesirability of vibration and how to reduce its effect. The studies also stressed the need to improve the efficiency of applications where vibration is desirable. The aforementioned studies notwithstanding and going by the recent earthquake in Mexico as well as the flooding and storm in various parts of the world, the last is yet to be heard about the devastating effect of vibration. This work presents the various vibration types through worked examples. It may open a floodgate of new investigations into the effect of the various vibration types which may in turn lead to new designs and fabrication of appropriate engineering devices to control and reduce to the barest minimum the harmful effect of the various vibration types.
Vibration damping system and a method of damping vibrations
Acoustical Society of America Journal, 2004
Title: Vibration damping system and a method of damping vibrations. Authors:Bhattacharya, Bishakh. Publication: Acoustical Society of America Journal, Volume 116, Issue 2, pp. 628-628 (2004). Publication Date: 08/2004. Origin: STI. ...
Vibration Dynamics and Control
2010
Over the last decades there has been much work concerned with the vibration control of different dynamical systems. The objective in writing this textbook was to help students wishing to get deeper knowledge on structural dynamics and vibration control, while providing an overview of the potential of smart materials based sensor and actuator technologies for active vibration control. The textbook is aimed at first towards graduate and postgraduate students following Master and PhD programmes related to structural dynamics, mechatronics, control engineering, automotive engineering noise and vibrations. The only prerequisite for reading this book is some background in structural dynamics and in automatic control. The contents of the textbook consist of five parts: Vibration dynamics (Part 1), Passive and semi-active vibration control (Part 2), Active and hybrid vibration control (Part 3), Applications (Part 4), and Supplementary mathematics, List of Matlab codes and Answers and hints ...
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Related papers
Fundamentals of vibrations: Basic Concepts and definitions. Vibration Analysis, Harmonic Motion. Single degree-of-freedom systems: Equation of motion; Lagrange’s equation; free vibration of undamped and damped systems; logarithmic decrement; other forms of damping. Forced vibration: Equation of motion; response to harmonic excitation; resonance; rotating unbalanced; base motion excitation; response to general non-periodic excitation; impulse response function. Design for vibration control: Vibration isolation; critical speeds of rotating shafts; practical isolation design. Multiple degree-of-freedom systems: Equations of motion; Lagrange’s equations; free vibration, natural frequencies and mode shapes; forced vibration; response to harmonic excitation and normal-mode approach. Continuous systems: Introduction to continuous systems. Vibration absorption: Balancing of rotating machines.
Vibrations are mechanical oscillations about an equilibrium position. There are cases when vibrations are desirable, such as in certain types of machine tools or production lines. Most of the time, however, the vibration of mechanical systems is undesirable as it wastes energy, reduces efficiency and may be harmful or even dangerous. For example, passenger ride comfort in aircraft or automobiles is greatly affected by the vibrations caused by outside disturbances, such as aeroelastic effects or rough road conditions. In other cases, eliminating vibrations may save human lives, a good example is the vibration control of civil engineering structures in an earthquake scenario. All types of vibration control approaches—passive, semi-active and active— require analyzing the dynamics of vibrating systems. Moreover, all active approaches, such as the model predictive control (MPC) of vibrations considered in this book require simplified mathematical models to function properly. We may acquire such mathematical models based on a first principle analysis, from FEM models and from experimental identification. To introduce the reader into the theoretical basics of vibration dynamics, this chapter gives a basic account of engineering vibration analysis. There are numerous excellent books available on the topic of analyzing and solving problems of vibration dynamics. This chapter gives only an outline of the usual problems encountered in vibration engineering and sets the ground for the upcoming discussion. For those seeking a more solid ground in vibration mechanics, works concentrating rather on the mechanical view can be very valuable such as the work of de Silva [10] and others [4, 22]. On the other hand, the reader may get a very good grip of engineering vibrations from the books discussing active vibration control such as the work of Inman [21] and others [15, 18, 37, 38]. The vibration of a point mass may be a simple phenomenon from the physical viewpoint. Still, it is important to review the dynamic analysis beyond this phenomenon , as the vibration of a mass-spring-damper system acts as a basis to understand more complex systems. A system consisting of one vibrating mass has one natural frequency, but in many cases, in a controller it is sufficient to replace a continuous G. Takács and B. Rohal'-Ilkiv, Model Predictive Vibration Control, 2 5
Nonlinear Vibrations, Stability Analysis, and Control
Mathematical Problems in Engineering, 2010
Important advances in mathematics, physics, biology, economics, and engineering science have shown the importance of the analysis of nonlinear vibrations, instabilities, and strongly coupled dynamical behavior.
Towards identification of a general model of damping
SPIE proceedings series, 2000
R��sum��/Abstract Characterization of damping forces in a vibrating structure has long been an active area of research in structural dynamics. In spite of a large amount of research, understanding of damping mechanisms is not well developed. A major reason for this is that unlike inertia and stiffness forces it is not in general clear what are the state variables that govern the damping forces. The most common approach is to use viscous damping where the instantaneous generalized velocities are the only relevant state variables. However, ...