Transverse vibration characteristics of axially moving viscoelastic plate 被引量：1

Transverse vibration characteristics of axially moving viscoelastic plate

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摘要 The dynamic characteristics and stability of axially moving viscoelastic rectangular thin plate are investigated. Based on the two dimensional viscoelastic differential constitutive relation, the differential equations of motion of the axially moving viscoelastic plate are established. Dimensionless complex frequencies of an axially moving viscoelastic plate with four edges simply supported, two opposite edges simply supported and other two edges clamped are calculated by the differential quadrature method. The effects of the aspect ratio, moving speed and dimensionless delay time of the material on the trans- verse vibration and stability of the axially moving viscoelastic plate are analyzed. The dynamic characteristics and stability of axially moving viscoelastic rectangular thin plate are investigated. Based on the two dimensional viscoelastic differential constitutive relation, the differential equations of motion of the axially moving viscoelastic plate are established. Dimensionless complex frequencies of an axially moving viscoelastic plate with four edges simply supported, two opposite edges simply supported and other two edges clamped are calculated by the differential quadrature method. The effects of the aspect ratio, moving speed and dimensionless delay time of the material on the trans- verse vibration and stability of the axially moving viscoelastic plate are analyzed.

作者周银锋王忠民

机构地区 School of Sciences

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第2期209-218,共10页 应用数学和力学（英文版）

基金 Project supported by the National Natural Science Foundation of China(No.50575180)

关键词 axially moving viscoelastic plate transverse vibration differential quadra-ture method axially moving viscoelastic plate, transverse vibration, differential quadra-ture method

分类号 O343 [理学—固体力学]

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