传递矩阵分析轴向受力智能梁的振动和稳定性
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    摘要:

    主要针对受轴向压力的智能梁,研究压电片的尺寸、位置变化以及轴向力变化对智能梁固有特性及其 稳定性的影响。 利用复合材料力学的等效 弹性模量理论,将表面均匀对称分布压电材料的智能梁等效为非均质变截面梁。用传递矩阵 法分析轴向受力智能梁的振动和稳定性。基于Bernoul liEuler梁振动分析的传递矩阵法,导出轴向受压的智能梁的频率方程、模态函数及临界载 荷方程。以受轴向压力的智能简支梁为例,分别用传递矩阵法和基于ANSYS的有限元法计算其 动态特性和稳定性。计算结果表明,压电片尺寸、位置以及轴向力对智能梁的固有特性和稳 定性都有显著影响,所得结论对高速飞行器结构设计和主动振动控制中压电元件的优化布置 有一定的实用价值。

    Abstract:

    Transverse vibration and stability were analyzed by using the transfer matrix method for a smart beam subject to the axial force. By combining the equ ivalent Young’s modulus of mechanical analysis for composite materials, the sma rt beam with two piezoelectric components distributed symmetrically?on the surfa ce was equivalent to a homogenous stepped beam. Based on transfer matrix method of vibration analysis on the BernoulliEuler beam, the dynamic characteristics a nd stability of the smart beam bearing axial force was investigated, and the com putational results were compared with those of finite element method by using AN SYS. The results show that the effect of the size and location of the piezoelect ric patches and the axial force have significant effects on the vibration charac teristic and stability of the structure. The research will help to build a smart beam with multiple piezoelectric components in actively controlling vibration o f the flight structure with a high speed.

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  • 收稿日期:2009-06-15
  • 最后修改日期:2009-11-04
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