摘要
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向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 。
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.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2002年第11期1600-1604,共5页
Journal of Shanghai Jiaotong University
关键词
矩形板
横向振动
高阶剪切板理论
预应力
rectangular plate
transverse vibration
higher order shear deformation plate theory
initially stressed
