an:06049763
Zbl 1254.74001
Bajer, Czes??aw I.; Dyniewicz, Bart??omiej
Numerical analysis of vibrations of structures under moving inertial load
EN
Lecture Notes in Applied and Computational Mechanics 65. Berlin: Springer (ISBN 978-3-642-29547-8/hbk; 978-3-642-29548-5/ebook). x, 294~p. (2012).
00402312
2012
b
74-02 74S05 74H15 74H45
moving inertial loads; vibrations of structures; numerical analysis; Newmark method; finite element method; meshfree method; semi-analytical method
Many problems, e.g. static analysis, optimization, free vibrations etc. possess efficient numerical procedures implemented in commercial software, but the case of moving loads cannot be found in such computer codes; in this case one uses simplications and approximations of analytical solutions. The authors deal with many numerical methods to solve problems concerning vibrations of structures under moving inertial loads; semi-analytical methods are presented to better understand the differential equations that govern the mechanical problems.
The above considerations are put in evidence by the contents, i.e.: 1. Introduction. 2. Analytical solutions. 3. Semi-analytical methods. 4. Review of numerical methods. 5. Classical numerical methods of time integration. 6. Space-time finite element method. 7. Space-time finite elements and a moving load. 8. The Newmark method and a moving inertial load. 9. Meshfree methods in moving load problems. 10. Examples of applications. An appendix contains computer programs for some structures, and a rich bibliography (154 titles) follows. Inertial loads moving on strings, beams and plates at sub- or super-critical speed are dealt with. The book can be useful for many engineers, researchers and students, and represents a valuable contribution to the field.
Petre P. Teodorescu (Bucure??ti)