Benchmark problem for random vibration of structures by finite element method
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Conference Proceeding
Publication/Event/Conference Title
American Society of Mechanical Engineers Pressure Vessels and Piping Division Publication PVP
Publication Status
Version of Record
Abstract
This paper is directed at two objectives: (1) to develop an improved finite element formulation of beams subjected to random loading, (2) to provide a benchmark example which can also be solved exactly. Systematic formulation of element and global spectral matrices both of the excitation and response are presented. Two approximations for evaluation of the element spectral densities of excitation are compared with the result of direct numerical calculation. It is shown that in the benchmark example the finite element and exact solutions are in perfect agreement.
First Page
121
Last Page
128
Publication Date
12-1-1991
Recommended Citation
Elishakoff, Isaac and Zhu, Liping, "Benchmark problem for random vibration of structures by finite element method" (1991). Faculty Scholarship. 595.
https://digitalcommons.fau.edu/faculty_papers/595