Dynamic response of laminated open deep shells using a geometrically nonlinear theory

Book · Wed Nov 01 04:00:00 EST 1995

OSTI ID:122509

Kumar, V; Singh, A V ^[1]

---

1. Univ. of Western Ontario, London, Ontario (Canada). Dept. of Mechanical Engineering

In this paper a geometrically nonlinear theory for the analysis of open deep laminated shell panels is presented. The parabolic variation of the transverse shear stresses through the thickness of the shell and the effects of rotary inertia are included in the formulation. The linear and nonlinear stiffness matrices are derived using orthogonal curvilinear coordinate system for a general doubly curved deep laminated shell. The shell`s middle surface displacement and rotation components are modeled using Bezier surface patches and the resulting equation of motion is solved to obtain the transient response, using Beta-m time integration and Newton-Raphson iterations. A very good convergence of the responses is observed by using only the fifth order Bezier surface patches. The dynamic responses of cross-ply laminated circular and noncircular cylindrical panels pinned at the straight edges under a central point load are studied. The effect of the eccentricity on the dynamic response of noncircular cylindrical panels having same plane form as the circular cylindrical panel is also examined.

• OSTI ID: 122509
• Report Number(s): CONF-950740--; ISBN 0-7918-1331-2
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
42 ENGINEERING
COMPOSITE MATERIALS
DEFORMATION
DYNAMIC LOADS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
PANELS
RESPONSE FUNCTIONS
SHEAR
THEORETICAL DATA