Longitudinal vibration analysis of a nonlocal rod with arbitrary boundary conditions

被引：0
|
作者：
Du J.-T. [1 ]
Xu D.-S. [1 ]
Lü P. [1 ]
Liu Z.-G. [1 ]
机构：
[1] College of Power and Energy Engineering, Harbin Engineering University, Harbin
来源：
| 2016年 / Nanjing University of Aeronautics an Astronautics卷 / 29期
关键词：
Elastic boundary restraints; Longitudinal vibration; Nonlocal elasticity theory; Rod;
D O I：
10.16385/j.cnki.issn.1004-4523.2016.05.005
中图分类号：
学科分类号：
摘要：
Based on the nonlocal elasticity theory, longitudinal vibration characteristics of rod structures with general elastic boundary restraints are studied. Elastic springs are applied to the both ends of a nonlocal rod. All the classical boundary conditions as well as their combinations can be easily obtained by setting the spring coefficients accordingly. The displacement of the longitudinal vibration of the nonlocal rod is expanded into an improved Fourier series, in which a supplementary polynomial is introduced to make the constructed functions sufficiently smooth in the whole solution domain. The system characteristic matrix is derived by solving the nonlocal longitudinal vibration governing equation and the general elastic boundary condition simultaneously. The accuracy of the proposed model is validated by comparing with the modal parameters of a nonlocal rod with various boundary conditions available in literatures. Based on the established model, the influences of the boundary restraining stiffness and the nonlocal cha racteristic parameters on the modal characteristics of a nonlocal rod structure are also analyzed. By comparing with other approaches, the proposed method can take the boundary condition into account in the most general case. Therefore, there is no need to reformulate the theoretical model and/or modify the simulation code when the boundary conditions are changed. © 2016, Nanjing Univ. of Aeronautics an Astronautics. All right reserved.
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页码：787 / 794
页数：7
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