文档介绍：
非均质变厚度运动粘弹性板的横向振动#
潘振涛,王忠民
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(西安理工大学土木建筑工程学院,西安 710048)
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摘要:在等厚度和均质轴向运动粘弹性板振动特性分析的基础上,考虑了变厚度和非均质性,其中厚度和
材料的物性参数均沿垂直于轴向运动的方向为线性变化,建立了变系数的运动微分方程。采用有效的微分
求积法,分析了轴向运动速度、厚度比和三个非均质性变化系数对四边简支粘弹性矩形薄板横向振动特性
和稳定性的影响。
关键词:横向振动和稳定性;运动粘弹性矩形板;非均质性变化系数;微分求积法
中图分类号:O327
Transverse vibration of moving viscoelastic plate with
inhomogeneous and varying thickness
Pan Zhentao, Wang Zhongmin
(School of Civil Engineering and Architecture, Xi'an University of Technology,Xi'an 710048)
Abstract: On the basis of dynamic behavior for axially moving viscoelastic plate with uniform
thickness and homogeneous, considering the varying thickness and inhomogeneous, the differential
equation of motion with variable coefficient for axially moving viscoelastic plate is derived. The
thickness and physical parameters of material for the plate is assumed to linear change along the
direction perpendicular to axially moving. The effective differential quadrature method is adopted, and
the effects of the axially moving velocity, thickness ratio and three inhomogeneous variation
coefficients on transverse vibration characteristics and stability of viscoelastic rectangular plate with
four edges simply supported are analyzed.
Key words: transverse vibration and stability; moving viscoelastic rectangular plate; inhomogeneous
variable coefficient; differential quadrature method