摘要
基于Euler-Bernoulli梁自由振动的基本微分方程,得到了简支梁在面内温度载荷作用下的固有频率和临界力的精确解,并揭示了二者之间的内在联系.研究表明,温度引起的轴向载荷越大,固有频率越低,其固有频率的平方和轴向载荷成线性关系.
Based on the free vibration differential equation of Euler-Bernoulli,the exact solution of the natural frequencies and the critical force for simply supported beam subjected to temperature load are obtioned.Furthermore,the intrinsic relationship between its natural frequencies and critical force has been revealed.Results show that the axial force grows stronger the natural frequencies becomes weaker.
出处
《甘肃联合大学学报（自然科学版）》
2007年第3期30-31,共2页
Journal of Gansu Lianhe University :Natural Sciences
基金
兰州理工大学校科研发展基金(SB10200420)
关键词
简支梁
温度载荷
固有频率
临界力
精确解
simply supported beam
temperature load
natural frequency
critical force
exact solution
