Vibratory characteristics of flexural non-uniform Euler-Bernoulli beams carrying an arbitrary number of spring-mass systems
Qiao, H; Li, QS; Li, GQ
Source PublicationINTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
2002-04
Volume44Issue:4Pages:725-743
AbstractA new exact method for the analysis of free flexural vibrations of non-uniform multi-step Euler-Bernoulli beams carrying an arbitrary number of single-degree-of-freedom and two-degree-of-freedom spring-mass systems is presented in this paper. The closed-form solutions for free vibrations of non-uniform Euler-Bernoulli beams are derived for five important cases. Then, using the massless equivalent springs to replace the spring-mass systems and the fundamental solutions developed in this paper, the frequency equation for free flexural vibrations of a multi-step non-uniform beam with any kind of support configurations and carrying an arbitrary number of spring-mass systems can be conveniently established from a second-order determinant. The proposed method is computationally efficient due to the significant decrease in the determinant order as compared with previously developed procedures. (C) 2002 Elsevier Science Ltd. All rights reserved.
KeywordNatural Frequency Mode Shape Vibration Beam Spring-mass System
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/12576
Collection复杂系统管理与控制国家重点实验室_机器人理论与应用
Corresponding AuthorLi, QS
AffiliationCity Univ Hong Kong, Dept Bldg & Construct
Recommended Citation
GB/T 7714
Qiao, H,Li, QS,Li, GQ. Vibratory characteristics of flexural non-uniform Euler-Bernoulli beams carrying an arbitrary number of spring-mass systems[J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES,2002,44(4):725-743.
APA Qiao, H,Li, QS,&Li, GQ.(2002).Vibratory characteristics of flexural non-uniform Euler-Bernoulli beams carrying an arbitrary number of spring-mass systems.INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES,44(4),725-743.
MLA Qiao, H,et al."Vibratory characteristics of flexural non-uniform Euler-Bernoulli beams carrying an arbitrary number of spring-mass systems".INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES 44.4(2002):725-743.
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