粘-弹层合板的阻尼振动和横向应力

Damped vibration and transverse stresses of visco-elastic laminated plates

应用混合分层理论在板的厚度方向取二次插值函数描述每个数值层内位移沿厚度方向的变化规律,采用三次和四次插值函数描述横向应力沿厚度方向的变化,推导出粘-弹层合板的动力学方程,并得出简支粘-弹层合板自由阻尼振动的解.数值结果不仅与三维结果吻合较好,且能够计算合理协调的横向应力.

Applying the mixed layerwise plates theories, adopting quadratic functions for displacement and three\|order or four\|order functions for transverse stress in the shell\|thickness direction, the dynamics equations of visco\|elastic laminated plates are deduced, and the numerical solutions for simple\|support laminated plates are derived through Navier solutions. The predicted numerical results are in good agreement with the exact three\|dimensional elastic solutions. Moreover, the reasonable and harmonious transverse stresses in the plates can be computed.