摘要
研究了金字塔芯层点阵夹芯梁的自由振动和非线性受迫振动特性.基于折线理论推导出两端简支金字塔型点阵夹芯梁的非线性动力学方程.计算点阵夹芯梁固有频率并进行了验证.分析了杆件半径、杆件倾斜角度和芯层高度对点阵夹芯梁固有频率的影响.研究了点阵夹芯梁在不同激励幅值和不同结构参数下的非线性幅频响应特性.结果表明,随着各结构参数的增大,夹芯梁的固有频率均呈先增大后减小的变化规律,并且芯层结构参数对点阵夹芯梁的非线性响应存在复杂影响.
The free vibration and nonlinear forced vibration of the sandwich beam with pyramidal truss core were investigated. The zig-zag theory was used to derive the nonlinear dynamic equation for the truss core sandwich beam. The natural frequencies of the sandwich beam were also calculated and verified. The effects of strut radius,inclination angle and core height on the natural frequencies of the sandwich beam were then analyzed. Meanwhile,the nonlinear frequency responses of the sandwich beam under different excitation amplitudes and with different structural parameters were studied. The results show that the natural frequencies of the sandwich beam increased and then decreased with the increase of three structural parameters. In addition,the structural parameters of the truss core exhibited complicated effects on nonlinear responses of the sandwich beam.
出处
《动力学与控制学报》
2017年第4期314-323,共10页
Journal of Dynamics and Control
基金
国家自然科学基金(11402170)
天津市自然科学基金(14JCYBJC19400)~~
关键词
振动分析
点阵夹芯梁
非线性幅频响应
结构参数
固有频率
vibration analysis
truss core sandwich beam
nonlinear frequency response
structural parameter
natural frequency
