Milan Batista - Academia.edu (original) (raw)

Papers by Milan Batista

Research paper thumbnail of A simple static analysis of moving road vehicle under crosswind

Journal of Wind Engineering and Industrial Aerodynamics, 2014

ABSTRACT This article is devoted to vehicle safety in the crosswinds. A static model to determine... more ABSTRACT This article is devoted to vehicle safety in the crosswinds. A static model to determine the critical wind speed for overturn-, sideslip- and rotation-type of accidents is considered. The basic equations were defined by assuming that the vehicle moves in a uniform straight line. Explicit formulas for the critical wind speed for all three possible wind-induced accidents are derived to provide the new critical wind speed formulas for rollover and rotation wind-induced accidents. Numerical examples are given and compared to field observations.

Research paper thumbnail of A Note on a Generalization of Sherman-Morrison-Woodbury formula

The article presents a generalization of Sherman-Morrison-Woodbury (SMW) formula for the inversio... more The article presents a generalization of Sherman-Morrison-Woodbury (SMW) formula for the inversion of a matrix of the form A+sum(U)k)*V(k),k=1..N).

Research paper thumbnail of On the Mutual Coefficient of Restitution in Two Car Collinear Collisions

In the paper two car collinear collisions are discussed using Newton's law of mechanics, con... more In the paper two car collinear collisions are discussed using Newton's law of mechanics, conservation of energy and linear constitutive law connecting impact force and crush. Two ways of calculating the mutual restitution coefficient are given: one based on car masses and one based on car stiffness. A numerical example of an actual test is provided.

Research paper thumbnail of Comparison of Reissner, Mindlin and Reddy plate models with exact three dimensional solution for simply supported isotropic and transverse inextensible rectangular plate

Research paper thumbnail of Large deflection of cantilever rod pulled by cable

Applied Mathematical Modelling, 2014

Research paper thumbnail of Particle tunnelling between two boxes joined with a long thin tube

European Journal of Physics, 2004

The ground state of a particle confined to two two-dimensional square boxes connected with a narr... more The ground state of a particle confined to two two-dimensional square boxes connected with a narrow channel is calculated. It is shown that the presence of the channel results in the splitting of the otherwise degenerate ground state. When the width of the channel is small compared to the wavelength of the particle, the wavefunction in the channel is exponentially

Research paper thumbnail of A cyclic block-tridiagonal solver

Advances in Engineering Software, 2006

Research paper thumbnail of The nearly horizontally rolling of a thick disk on a rough plane

Regular and Chaotic Dynamics, 2008

In the paper the analytical solution of the partially linearized equations of motion of nearly ho... more In the paper the analytical solution of the partially linearized equations of motion of nearly horizontally rolling of a thick rigid disk on a perfectly rough horizontal plane under the action of gravity is given in terms of Whittaker functions. The solution is used to obtain the asymptotic solutions for a very small inclination angle, the study of unilateral contact

Research paper thumbnail of Quantum cards and quantum rods

Central European Journal of Physics, 2008

Research paper thumbnail of The use of the Sherman–Morrison–Woodbury formula to solve cyclic block tri-diagonal and cyclic block penta-diagonal linear systems of equations

Applied Mathematics and Computation, 2009

Research paper thumbnail of The derivation of the equations of moderately thick plates by the method of successive approximations

Research paper thumbnail of Optimal velocity functions for car-following models

Journal of Zhejiang University SCIENCE A, 2010

Research paper thumbnail of Steady flow of incompressible fluid between two co-rotating disks

Applied Mathematical Modelling, 2011

Research paper thumbnail of Discussion of ‘On the uniqueness of large deflections of a uniform cantilever beam under a tip-concentrated rotational load’ by M. Mutyalarao, D. Bharathi, B. Nageswara Rao

International Journal of Non-Linear Mechanics, 2013

ABSTRACT The paper discusses some flaws in Mutyalarao et al.'s (2010) paper [1] on large ... more ABSTRACT The paper discusses some flaws in Mutyalarao et al.'s (2010) paper [1] on large deflection of cantilever beams subject to tip-concentrated rotational load. It is shown that the authors fail to correctly determine the domain of the tip angle and consequently they obtain some incorrect solutions.

Research paper thumbnail of Self-induced jumping of a rigid body of revolution on a smooth horizontal surface

International Journal of Non-Linear Mechanics, 2008

Research paper thumbnail of Large deflections of a beam subject to three-point bending

International Journal of Non-Linear Mechanics, 2015

Research paper thumbnail of Steady motion of a rigid disk of finite thickness on a horizontal plane

International Journal of Non-linear Mechanics, 2006

The article discusses the steady motion of a rigid disk of finite thickness rolling on its edge o... more The article discusses the steady motion of a rigid disk of finite thickness rolling on its edge on a horizontal plane under the influence of gravity. The governing equations are presented and two cases allowing for a steady-state solution are considered: rolling on consistently rough ground and rolling on perfectly smooth ground. The conditions of steady motion are derived for both kinds of ground and it is shown that the possible steady motion of a disk is either on a straight line or in a circle. Oscillations about steady state are discussed and conditions for stable motion established. The bifurcations of steady motions on a smooth surface are also considered.

Research paper thumbnail of The Increase in Container Capacity at Slovenia's Port of Koper

TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, 2013

Research paper thumbnail of An elementary derivation of basic equations of the Reissner and Mindlin plate theories

Engineering Structures, 2010

The basic equations of the Reissner and Mindlin plate theories are derived in an elementary way f... more The basic equations of the Reissner and Mindlin plate theories are derived in an elementary way from the underlying assumptions of the theories about the distribution of in-plane stresses in the Reissner case and the distribution of displacement components in the Mindlin case. The derived equations include a parameter which allows the interpretation of the theories as an approximation of isotropic plates or transversally inextensible plates. Qualitative comportment between the theories is also given.

Research paper thumbnail of A simple static analysis of moving road vehicle under crosswind

Journal of Wind Engineering and Industrial Aerodynamics, 2014

ABSTRACT This article is devoted to vehicle safety in the crosswinds. A static model to determine... more ABSTRACT This article is devoted to vehicle safety in the crosswinds. A static model to determine the critical wind speed for overturn-, sideslip- and rotation-type of accidents is considered. The basic equations were defined by assuming that the vehicle moves in a uniform straight line. Explicit formulas for the critical wind speed for all three possible wind-induced accidents are derived to provide the new critical wind speed formulas for rollover and rotation wind-induced accidents. Numerical examples are given and compared to field observations.

Research paper thumbnail of A simple static analysis of moving road vehicle under crosswind

Journal of Wind Engineering and Industrial Aerodynamics, 2014

ABSTRACT This article is devoted to vehicle safety in the crosswinds. A static model to determine... more ABSTRACT This article is devoted to vehicle safety in the crosswinds. A static model to determine the critical wind speed for overturn-, sideslip- and rotation-type of accidents is considered. The basic equations were defined by assuming that the vehicle moves in a uniform straight line. Explicit formulas for the critical wind speed for all three possible wind-induced accidents are derived to provide the new critical wind speed formulas for rollover and rotation wind-induced accidents. Numerical examples are given and compared to field observations.

Research paper thumbnail of A Note on a Generalization of Sherman-Morrison-Woodbury formula

The article presents a generalization of Sherman-Morrison-Woodbury (SMW) formula for the inversio... more The article presents a generalization of Sherman-Morrison-Woodbury (SMW) formula for the inversion of a matrix of the form A+sum(U)k)*V(k),k=1..N).

Research paper thumbnail of On the Mutual Coefficient of Restitution in Two Car Collinear Collisions

In the paper two car collinear collisions are discussed using Newton's law of mechanics, con... more In the paper two car collinear collisions are discussed using Newton's law of mechanics, conservation of energy and linear constitutive law connecting impact force and crush. Two ways of calculating the mutual restitution coefficient are given: one based on car masses and one based on car stiffness. A numerical example of an actual test is provided.

Research paper thumbnail of Comparison of Reissner, Mindlin and Reddy plate models with exact three dimensional solution for simply supported isotropic and transverse inextensible rectangular plate

Research paper thumbnail of Large deflection of cantilever rod pulled by cable

Applied Mathematical Modelling, 2014

Research paper thumbnail of Particle tunnelling between two boxes joined with a long thin tube

European Journal of Physics, 2004

The ground state of a particle confined to two two-dimensional square boxes connected with a narr... more The ground state of a particle confined to two two-dimensional square boxes connected with a narrow channel is calculated. It is shown that the presence of the channel results in the splitting of the otherwise degenerate ground state. When the width of the channel is small compared to the wavelength of the particle, the wavefunction in the channel is exponentially

Research paper thumbnail of A cyclic block-tridiagonal solver

Advances in Engineering Software, 2006

Research paper thumbnail of The nearly horizontally rolling of a thick disk on a rough plane

Regular and Chaotic Dynamics, 2008

In the paper the analytical solution of the partially linearized equations of motion of nearly ho... more In the paper the analytical solution of the partially linearized equations of motion of nearly horizontally rolling of a thick rigid disk on a perfectly rough horizontal plane under the action of gravity is given in terms of Whittaker functions. The solution is used to obtain the asymptotic solutions for a very small inclination angle, the study of unilateral contact

Research paper thumbnail of Quantum cards and quantum rods

Central European Journal of Physics, 2008

Research paper thumbnail of The use of the Sherman–Morrison–Woodbury formula to solve cyclic block tri-diagonal and cyclic block penta-diagonal linear systems of equations

Applied Mathematics and Computation, 2009

Research paper thumbnail of The derivation of the equations of moderately thick plates by the method of successive approximations

Research paper thumbnail of Optimal velocity functions for car-following models

Journal of Zhejiang University SCIENCE A, 2010

Research paper thumbnail of Steady flow of incompressible fluid between two co-rotating disks

Applied Mathematical Modelling, 2011

Research paper thumbnail of Discussion of ‘On the uniqueness of large deflections of a uniform cantilever beam under a tip-concentrated rotational load’ by M. Mutyalarao, D. Bharathi, B. Nageswara Rao

International Journal of Non-Linear Mechanics, 2013

ABSTRACT The paper discusses some flaws in Mutyalarao et al.'s (2010) paper [1] on large ... more ABSTRACT The paper discusses some flaws in Mutyalarao et al.'s (2010) paper [1] on large deflection of cantilever beams subject to tip-concentrated rotational load. It is shown that the authors fail to correctly determine the domain of the tip angle and consequently they obtain some incorrect solutions.

Research paper thumbnail of Self-induced jumping of a rigid body of revolution on a smooth horizontal surface

International Journal of Non-Linear Mechanics, 2008

Research paper thumbnail of Large deflections of a beam subject to three-point bending

International Journal of Non-Linear Mechanics, 2015

Research paper thumbnail of Steady motion of a rigid disk of finite thickness on a horizontal plane

International Journal of Non-linear Mechanics, 2006

The article discusses the steady motion of a rigid disk of finite thickness rolling on its edge o... more The article discusses the steady motion of a rigid disk of finite thickness rolling on its edge on a horizontal plane under the influence of gravity. The governing equations are presented and two cases allowing for a steady-state solution are considered: rolling on consistently rough ground and rolling on perfectly smooth ground. The conditions of steady motion are derived for both kinds of ground and it is shown that the possible steady motion of a disk is either on a straight line or in a circle. Oscillations about steady state are discussed and conditions for stable motion established. The bifurcations of steady motions on a smooth surface are also considered.

Research paper thumbnail of The Increase in Container Capacity at Slovenia's Port of Koper

TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, 2013

Research paper thumbnail of An elementary derivation of basic equations of the Reissner and Mindlin plate theories

Engineering Structures, 2010

The basic equations of the Reissner and Mindlin plate theories are derived in an elementary way f... more The basic equations of the Reissner and Mindlin plate theories are derived in an elementary way from the underlying assumptions of the theories about the distribution of in-plane stresses in the Reissner case and the distribution of displacement components in the Mindlin case. The derived equations include a parameter which allows the interpretation of the theories as an approximation of isotropic plates or transversally inextensible plates. Qualitative comportment between the theories is also given.

Research paper thumbnail of A simple static analysis of moving road vehicle under crosswind

Journal of Wind Engineering and Industrial Aerodynamics, 2014

ABSTRACT This article is devoted to vehicle safety in the crosswinds. A static model to determine... more ABSTRACT This article is devoted to vehicle safety in the crosswinds. A static model to determine the critical wind speed for overturn-, sideslip- and rotation-type of accidents is considered. The basic equations were defined by assuming that the vehicle moves in a uniform straight line. Explicit formulas for the critical wind speed for all three possible wind-induced accidents are derived to provide the new critical wind speed formulas for rollover and rotation wind-induced accidents. Numerical examples are given and compared to field observations.