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分析基于非局部效应的两端铰支纳米材料梁的横向非线性自由振动.考虑纳米梁的有限变形导致的几何非线性,得到系统的运动微分方程.应用多重尺度方法研究系统的非线性固有频率.分析结果由数值数例验证,并重点分析非线性项及非局部效应对固有频率的影响.
利用多尺度方法分析基于非局部效应纳米梁的非线性振动
【摘 要】
：
分析基于非局部效应的两端铰支纳米材料梁的横向非线性自由振动.考虑纳米梁的有限变形导致的几何非线性,得到系统的运动微分方程.应用多重尺度方法研究系统的非线性固有频率.分析结果由数值数例验证,并重点分析非线性项及非局部效应对固有频率的影响.
【出 处】
：
中国科学:技术科学
【发表日期】
：
2010年02期
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