【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。更多还原

【Abstract】 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.更多还原