基于非局部弹性理论,针对非局部粘弹性基体中单壁碳纳米管的振动特性问题进行了研究.通过引入欧拉梁模型和非局部粘弹性地基模型,建立了系统的振动控制方程,并利用传递函数法得到了任意边界条件下非局部粘弹性基体中单壁碳纳米管固有频率的封闭解.以某根置于非局部粘弹性基体中的单壁碳纳米管为例,计算了不同边界条件和非局部参数下碳纳米管的前三阶固有频率,并在此基础上研究了非局部粘弹性基体主要材料参数对碳纳米管固有频率的影响特性.结果表明,所建分析模型和求解方法在分析粘弹性基体中碳纳米管的振动特性问题中准确有效.
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