摘要
Nonlinear forced vibrations and natural frequency of sandwich functionally graded material doubly curved shallow shell with a rectangular base are investigated. The sandwich functionally graded material(FGM) doubly curved shell is subjected to a harmonic point load at centre. The sandwich doubly curved shell with homogeneous face sheets and FGM face sheets is considered respectively when the natural frequencies are studied. Reddy's third order shear deformation theory is expanded in which stretching effects in thickness are considered by introducing the secant function. Hamilton's principle and von-Karman type nonlinear geometric equation are applied to obtain partial differential equation of the FGM sandwich doubly curved shell. Comparative studies with other shear deformation theories are carried out to validate the present formulation. Navier method is used to discuss the natural vibration frequencies of the FGM sandwich doubly curved shell. Numerical simulation is applied to demonstrate the nonlinear dynamic responses of the FGM sandwich doubly curved shell. Multiple periods, quasi-period and chaos are detected for the dynamic system for different core thickness.
作者
HAO YuXin
LI ZhenNi
ZHANG We
LI ShuangBao
YAO MingHui
HAO YuXin;LI ZhenNi;ZHANG Wei;LI ShuangBao;YAO MingHui(College of Mechanical Engineering, Beijing Information Science and Technology University;College of Mechanical Engineering, Beijing University of Technology;College of Science, Civil Aviation University of China)
基金
supported by the National Natural Science Foundation of China(Grant Nos.11472056 and 11472298)
the Natural Science Foundation of Tianjin City(Grant No.13JCQNJC04400)
