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L. Frìba

Vibration of solids and structures under moving loads


1972. 2012. xxvii, 484 S. 229 mm
Verlag/Jahr: SPRINGER NETHERLANDS; SPRINGER 2012
ISBN: 9401196877 (9401196877)
Neue ISBN: 978-9401196871 (9789401196871)

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Transport engineering structures are subjected to loads that vary in both time and space. In general mechanics parlance such loads are called moving loads. It is the aim of the book to analyze the effects of this type of load on various elements, components, structures and media of engineering me chanics. In recent years all branches of transport have experienced great advances characterized by increasingly higher speeds and weights of vehicles. As a result, structures and media over or in which the vehicles move have been subjected to vibrations and dynamic stresses far larger than ever before. The author has studied vibrations of elastic and inelastic bodies and structures under the action of moving loads for many years. In the course of his career he has published a number of papers dealing with various aspects of the problem. On the strength of his studies he has arrived at the conclusion that the topic has so grown in scope and importance as to merit a comprehensive treatment. The book is the outcome of his attempt to do so in a single monograph.
I Introduction.- II One-dimensional solids.- 1 Simply supported beam subjected to a moving constant force.- 2 Moving harmonic force.- 3 Moving continuous load.- 4 Moving force arbitrarily varying in time.- 5 Beam stresses.- 6 Beams with various boundary conditions subjected to a moving load.- 7 Massless beam subjected to a moving load.- 8 Beam subjected to a moving system with two degrees of freedom.- 9 Beam subjected to a moving two-axle system.- 10 Beam subjected to a moving multi-axle system.- 11 Systems of prismatic bars subjected to a moving load.- 12 Non-uniform beams and curved bars subjected to a moving load.- 13 Infinite beam on elastic foundation.- 14 String subjected to a moving load.- III Two-dimensional solids.- 15 Plates subjected to a moving load.- 16 Infinite plate on elastic foundation.- IV Three-dimensional solids.- 17 Elastic space with a moving force.- 18 Force moving on elastic half-space.- V Special problems.- 19 Load motion at variable speed.- 20 Beams subjected to an axial force and a moving load.- 21 Longitudinal vibration of bars subjected to a moving load.- 22 Thin-walled beams subjected to a moving load.- 23 The effect of shear and rotatory inertia.- 24 Finite beams subjected to a force moving at high speed.- 25 Non-elastic properties of materials.- 26 Moving random loads.- VI Appendix and bibliography.- 27 Tables of integral transformations.- Supplementary bibliography.- Author index.