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滑移系统自由振动的停滞区

BACKWATER REGION OF FREE VIBRATION OF SLIDING SYSTEMS

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【作者】 李大望李四平曹征良

【Author】 LI Da-wang1,2, LI Si-ping3, CAO Zheng-liang1(1.College of Civil Engineering, Shenzhen University, Shenzhen 518060, China; 2.College of Civil Engineering, Zhengzhou University, Zhengzhou 450002, China; 3.Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, China)

【机构】 深圳大学土木工程学院上海交通大学工程力学系深圳大学土木工程学院 深圳518060郑州大学土木工程学院郑州450002上海200030深圳518060

【摘要】 综合分析了线性、渐硬和渐软恢复力滑移系统自由振动的停滞区,给出了三种滑移系统停滞区的解析解;论证了解的连续性和随系统参数变化的规律性。结果表明:滑移系统的停滞区在系统参数的整个取值范围内处处连续;随摩擦系统单调增加,而随系统的线性与非线性恢复力参数单调减小;相对于线性恢复力滑移系统,弹簧的软化至多可使停滞区增加50%;渐软恢复力参数有一个下限,低于此限的软化系统没有停滞区。

【Abstract】 The backwater regions of the free vibration of sliding systems with linear, hardening or softening restoring force are analyzed comprehensively; relevant analytical solutions are obtained; the continuity and regularity of these solutions changing with the system parameters are demonstrated. The results show that the backwater regions of the sliding systems are continuous everywhere in the whole domain of the system parameters, increasing monotonously with the friction coefficient and decreasing with the linear and non-linear restoring force parameters. Relative to the system with a linear restoring force, the backwater region of the softening system can be increased by 50% at most; the softening parameter should be kept above a lower limit, otherwise the softening system will be lack of backwater regions.

【基金】 国家自然科学基金(50478050);河南省高等学校创新人才基金(2004年度)资助
  • 【文献出处】 振动与冲击 ,Journal of Vibration and Shock , 编辑部邮箱 ,2007年08期
  • 【分类号】O322
  • 【被引频次】1
  • 【下载频次】79
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