弹性基础上预应力中厚矩形板的横向振动

基于Reddy高阶剪切板理论，研究预加均匀温度场和面内机械荷载作用下，双参数弹性基础上各同同性中厚矩形板的振动特性，给出了确定板振动频率的半解析数值方法，通过算例考察了温度变化，面内荷载、基础刚度参数、边界条件、横向剪切变形等对板振动特性的影响，结果表明，温度升高与预加面内压力将使板的自振频率下降，而增加基础刚度和预加面内拉力则有助于提高板的自振频率。

Vibration of Initially Stressed Moderately Thick Rectangular Plates on Elastic Foundations

Based on Reddy's higher order shear deformation plate theory, the free vibration analysis for an initially stressed, moderately thick rectangular plate resting on a Pasternak foundation was presented. The initial stresses are induced by in plane mechanical loads and/or uniform temperature rise. A semi analytical approach was developed to determine the natural frequencies of the plates. Numerical results were given in tabular forms, showing the effects of temperature rise, initial membrane stresses, foundation stiffness, boundry conditions and transverse shear deformation on the vibration characteristics of the plates. The results reveal that the frequencies are reduced by increasing temperature and initial compressive loads. In contrast, they will be increased by increasing foundation stiffness and initial tensile loads.