Finite Element Analysis for Coupled Vibrations of an Elastic Block Supported by a Nonlinear Spring (Investigation under Weak Nonlinearity)

被引：0

作者：

Yamaguchi, Takao ^{[1
]}

Nagai, Ken-Ichi ^{[1
]}

Maruyama, Shinichi ^{[1
]}

Aburada, Tomohiro ^{[1
]}

机构：

[1] Dept. of Mech. System Engineering, Gunma University, Kiryu-shi, Gunma 376-8515

来源：

Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C | 2003年 / 69卷 / 12期

关键词：

Computer Aided Analysis; Finite Element Method; Flexible Structure; Nonlinear Vibration; Vibration of Continuous System;

D O I：

10.1299/kikaic.69.3167

中图分类号：

学科分类号：

摘要：

This paper describes vibration analysis using finite element method for an elastic block supported by a nonlinear concentrated spring. The restoring force of the spring has cubic nonlinearity. Finite element for the nonlinear spring is expressed and is connected to the elastic block modeled by linear solid finite elements. Further, the discretized equations in physical coordinate are transformed into the nonlinear ordinary coupled equations using normal coordinate corresponding to linear natural modes. This transformation yields computation efficiency. Influences of Young's modulus on nonlinear frequency responses for the elastic block are clarified.

引用

页码：3167 / 3174

页数：7

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