| 036a | XA-DE |
| 037b | eng |
| 077a | 36621957X Buchausg. u.d.T.: ‡Bajer, Czesław I.: Numerical analysis of vibrations of structures under moving inertial load |
| 087q | 978-3-642-29547-8 |
| 100 | Bajer, Czesław I. |
| 104b | Dyniewicz, Bartłomiej |
| 331 | Numerical Analysis of Vibrations of Structures under Moving Inertial Load |
| 410 | Berlin, Heidelberg |
| 412 | Springer Berlin Heidelberg |
| 425 | 2012 |
| 425a | 2012 |
| 433 | Online-Ressource (XII, 284p. 192 illus., 99 illus. in color, digital) |
| 451 | Lecture Notes in Applied and Computational Mechanics ; 65 |
| 454 | Lecture notes in applied and computational mechanics |
| 455 | 65 |
| 501 | Description based upon print version of record |
| 517 | Title; Preface; Contents; Introduction; Literature Review; Solution Methods; Approximate Methods; Review of Analytical-Numerical Methods in Moving Load Problems; d'Alembert Method; Fourier Method; Lagrange Formulation; Examples; Analytical Solutions; A Massless String under a Moving Inertial Load; Case of = 1; Case of =1; Discontinuity of the Solution; Conclusions; Semi-analytical Methods; String; Fourier Analysis; The Lagrange Equation; Bernoulli-Euler Beam; Fourier Solution; The Lagrange Equation of the Second Kind; Conclusions; Timoshenko Beam; Fourier Solution; The Lagrange Equation. ExamplesConclusions and Discussion; Bernoulli-Euler Beam vs. Timoshenko Beam; Plate; The Renaudot Approach vs. The Yakushev Approach; The Renaudot Approach; The Yakushev Approach; Review of Numerical Methods of Solution; Oscillator; String Vibrations under a Moving Oscillator; Beam Vibrations under a Moving Oscillator; Inertial Load; A Bernoulli-Euler Beam Subjected to an Inertial Load; A Timoshenko Beam Subjected to an Inertial Load; Classical Numerical Methods of TimeIntegration; Integration of the First Order Differential Equations; Single-Step Method SSpj; Central Difference Method. Stability of the MethodAccuracy of the Method; The Adams Methods; Explicit Adams Formulas (Open); Implicit Adams Formulas (Closed); The Newmark Method; The Bossak Method; The Park Method; The Park-Housner Method; Stability of the Park-Housner Method; The Trujillo Method; Space-Time Finite Element Method; Formulation of the Method-Displacement Approach; Space-Time Finite Elements in the Displacement Description; Properties of the Integration Schemes; Accuracy of Methods; Velocity Formulation of the Method; One Degree of Freedom System. Discretization of the Differential Equation of String VibrationsGeneral Case of Elasticity; Other Functions of the Virtual Velocity; Space-Time Element Method and Other Time Integration Methods; Convergence; Phase Error; Non-inertial Problems; Space-Time Finite Element Method vs. Newmark Method; Simplex Elements; Property of Space Division; Numerical Efficiency; Simplex Elements in the Displacement Description; Triangular Element of a Bar Vibrating Axially; Space-Time Finite Element of the Beam of Moderate Height; Tetrahedral Space-Time Element of a Plate. Triangular Elements Expressed in VelocitiesSpace-Time Finite Elements and a Moving Load; Space-Time Finite Element of a String; Discretization of the String Element Carrying a Moving Mass; Numerical Results; Conclusions; Space-Time Elements for a Bernoulli-Euler Beam Carrying a Moving Mass; Numerical Results; Space-Time Element of Timoshenko Beam Carrying a Moving Mass; Conclusions; Space-Time Finite Plate Element Carrying a Moving Mass; Thin Plate; Thick Plate; Plate Placed on an Elastic Foundation; Problems with Zero Mass Density; The Newmark Method and a Moving InertialLoad. The Newmark Method in Moving Mass Problems |
| 527 | Buchausg. u.d.T.: ‡Bajer, Czesław I.: Numerical analysis of vibrations of structures under moving inertial load |
| 540a | ISBN 978-3-642-29548-5 |
| 700 | |56.19 |
| 700 | |TGB |
| 700 | |SCI041000 |
| 700 | |TEC009070 |
| 700 | |*74-02 |
| 700 | |74S05 |
| 700 | |74H15 |
| 700 | |74H45 |
| 700b | |620.1 |
| 700b | |520 |
| 700c | |TA349-359 |
| 700g | 1271143623 UF 5200 |
| 750 | Bart?omiej Dyniewicz |
| 753 | Moving inertial loads are applied to structures in civil engineering, robotics, and mechanical engineering. Some fundamental books exist, as well as thousands of research papers. Well known is the book by L. Frýba, Vibrations of Solids and Structures Under Moving Loads, which describes almost all problems concerning non-inertial loads. This book presents broad description of numerical tools successfully applied to structural dynamic analysis. Physically we deal with non-conservative systems. The discrete approach formulated with the use of the classical finite element method results in elemental matrices, which can be directly added to global structure matrices. A more general approach is carried out with the space-time finite element method. In such a case, a trajectory of the moving concentrated parameter in space and time can be simply defined. We consider structures described by pure hyperbolic differential equations such as strings and structures described by hyperbolic-parabolic differential equations such as beams and plates. More complex structures such as frames, grids, shells, and three-dimensional objects, can be treated with the use of the solutions given in this book. |
| 902s | 210311908 Strukturdynamik |
| 902s | 209599480 Numerisches Verfahren |
| 907s | 210311908 Strukturdynamik |
| 907s | 209599480 Numerisches Verfahren |
| 012 | 365272663 |
| 081 | Bajer, Czeslaw I.: Numerical Analysis of Vibrations of Structures under Moving Inertial Load |
| 100 | Springer E-Book |
| 125a | Elektronischer Volltext - Campuslizenz |
| 655e | $uhttp://dx.doi.org/10.1007/978-3-642-29548-5 |
