摘要
The hypotheses of the Krmn_Donnell theory of thin shells with large deflections and the Boltzmann laws for isotropic linear, viscoelastic materials, the constitutive equations of shallow shells are first derived. Then the governing equations for the deflection and stress function are formulated by using the procedure similar to establishing the Krmn equations of elastic thin plates. Introducing proper assumptions, an approximate theory for viscoelastic cylindrical shells under axial pressures can be obtained. Finally, the dynamical behavior is studied in detail by using several numerical methods. Dynamical properties, such as, hyperchaos, chaos, strange attractor, limit cycle etc., are discovered.
The hypotheses of the Kármán-Donnell theory of thin shells with large deflections and the Boltzmann laws for isotropic linear, viscoelastic materials, the constitutive equations of shallow shells are first derived. Then the governing equations for the deflection and stress function are formulated by using the procedure similar to establishing the Kármán equations of elastic thin plates. Introducing proper assumptions, an approximate theory for viscoelastic cylindrical shells under axial pressures can be obtained. Finally, the dynamical behavior is studied in detail by using several numerical methods. Dynamical properties, such as, hyperchaos, chaos, strange attractor, limit cycle etc., are discovered.
出处
《应用数学和力学》
EI
CSCD
北大核心
2001年第1期1-8,共8页
Applied Mathematics and Mechanics
基金
theNationalNaturalScienceFoundationofChina ( 1 9772 0 2 7)
theDevelop mentFoundationofShanghaiMunicipalCommissionofEducation
关键词
KArmAn-Donnell理论
粘弹性柱壳
混沌
挠度
应力
Kármán
Donnell theory
viscoelastic cylindrical shell
chaos
hyperchaos
strange attractor
limit cycle
