摘要
研究了温度场与位移场耦合热弹梁的振动特性。根据梁的运动微分方程和考虑变形影响的热传导方程,得到了温度场和应变场耦合情况下梁的耦合热弹振动微分方程。采用微分求积法建立了耦合热弹振动方程的特征方程,对耦合与非耦合情况下梁的固有频率进行了数值计算及分析,并分析了耦合与非耦合两种情况下梁的无量纲耦合系数和长高比对梁固有频率的影响。
The vibration characteristics of the beam under the coupled temperature field and displacement field were investigated. Based on the differential equation of motion of the beam and the heat conduction equation involving the thermoelastic coupling term, the coupled thermoelastic vibration equation was derived. The generalized eigenequation of the coupling thermoelastic beam was established by the differential quadrature method and the natural frequencies of the beam under the coupled thermoelastic case and the uncoupling case were calculated numerically and analyzed. The natural frequencies between the coupling case and the uncoupling case, and the effects of the ratio and the dimensionless coupling term on the natural frequencies of the beam were analyzed.
出处
《西安理工大学学报》
CAS
北大核心
2009年第2期184-188,共5页
Journal of Xi'an University of Technology
基金
国家自然科学基金资助项目(10872163)
陕西省教育厅科学研究计划基金资助项目(08JK394)
关键词
耦合热弹梁
温度场
微分求积法
横向振动
coupled thermoelastic beam
temperature field
differential quadrature method
transverse vibration
