粘弹性基础上粘弹性矩形厚板的固有横振

The natural transverse vibrations of rectangular thick plates with viscoelastic on viscoelastic foundation

由于各向同性粘弹性的剪应力—角应变及挤压应力—挤压应变的本构关系与应力—应变的本构关系相似,据此,在线性粘弹性范围内,建立了适合于各种粘弹性基础上粘弹性矩形厚板的普遍动力学方程,从而得到了Kelvin基础上Van DerPoel模型矩形厚板的固有频率解析式。

According to the isotropic viscoelastic body＇s constitutive relation about shear stress between shear strain and squeeze stress between squeeze strain being similar to the constitutive relation about stress between strain, the universal dynamical equation of viscoelastic rectangular thick plates which agrees with various kinds of viscoelastic foundation at the linear viscoelastic range can be deduced. And the natural frequencies＇ analytical functions of rectangular thick plates about Van Der Poel model on Kelvin foundation can be derived.