ContentsPreface XVI Symbols XIX 7 Massless beam subjected to a moving load 7.1 Formulation of the problem 94 VIII 7.2 Exact solution 95 7.3 Approximate solutions 98 7.3.1 The perturbation method 98 7.3.2 Method of successive approximations 100 7.3.3 Expansion in power series 101 66 83 94 CONTENTS 7.4 Application of the theory 102 7.5 Additional bibliography 102 8 Beam subjected to a moving system with t\\;O degrees of freedom 103 8.1 Formulation of the problem 104 8.2 Solution of the problem 108 8.2.1 Dimensionless parameters 108 8.2.2 Reduction of the equations to the dimensionless form 112 8.2.3 Numerical solution 114 8.3 The effect of various parameters 115 8.3.1 The effect of speed 115 8.3.2 The effect of the frequency parameter of unsprung mass 117 8.3.3 The effect of the frequency parameter of sprung mass 118 8.3.4 The effect of variable stiffness of the elastic layer 118 8.3.5 The effect of the ratio between the weights of vehicle and beam 119 8.3.6 The effect of the ratio between the weights of unsprung and sprung parts of vehicle 119 8.3.7 The effect of beam damping 121 8.3.8 The effect of vehicle spring damping III 8.3.9 The effect of initial conditions 121 8.3.10 The effect of other parameters 123 8.4 Application of the theory 125 8.4.1 Comparison of theory with experiments 125 8.4.2 Dynamic stresses in large-span railway bridges 128 8.5 Additional bibliography 1289 Beam subjected to a moving two-axle system

Beam subjected to a moving system with t\\;O degrees of freedom 103 8.1 Formulation of the problem 104 8.2 Solution of the problem 108 8.2.1 Dimensionless parameters 108 8.2.2 Reduction of the equations to the dimensionless form 112 8.2.3 Numerical solution 114 8.3 The effect of various parameters 115 8.3.1 The effect of speed 115 8.3.2 The effect of the frequency parameter of unsprung mass 117 8.3.3 The effect of the frequency parameter of sprung mass 118 8.3.4 The effect of variable stiffness of the elastic layer 118 8.3.5 The effect of the ratio between the weights of vehicle and beam 119 8.3.6 The effect of the ratio between the weights of unsprung and sprung parts of vehicle 119 8.3.7 The effect of beam damping 121 8.3.8 The effect of vehicle spring damping III 8.3.9 The effect of initial conditions 121 8.3.10 The effect of other parameters 123 8.4 Application of the theory 125 8.4.1 Comparison of theory with experiments 125 8.4.2 Dynamic stresses in large-span railway bridges 128 8.5 Additional bibliography 128 9 Beam subjected to a moving two-axle system 129 9.1 Formulation of the problem 129 9.2 Solution of the problem 134 9.2.1 Dimensionless parameters 134 9.2.2 Reduction of the equations to the dimensionless form 137 9.2.3 Reduction of the equations to a form suitable for numerical calculations 140 9.2.4 Numerical solution 142 9.3 The effect of various parameters 145 9.3.1 The effect of speed 145 9.3.2 The effect of the frequency parameter of unsprung mass 148 9.3.3 The effect of the frequency parameter of sprung mass 148 9.3.4 The effect of the ratio between the weights of vehicle and beam 150 9.3.5 The effect of the ratio between the weights of unsprung parts and whole vehicle 150 9.3.6 The effect of the depth of irregularities 150 9.3.7 The effect of the length of irregularities 151 IX 13 Infinite beam on elastic foundation 13.1 Formulation of the problem 206 13.2 Poles of the function of a complex variable 209 13.2.1 Static case 211 13.3

No abstract

No abstract

No abstract