作者: N.L. Basdekas , M. Chi
DOI: 10.1016/0022-460X(71)90454-8
关键词: Mathematics 、 Normal mode 、 Stiffening 、 Classical mechanics 、 Shell (structure) 、 Virtual work 、 Inertia 、 Variational method 、 Ordinary differential equation 、 Mechanics 、 Generalized forces
摘要: Abstract The dynamic response of an oddly-stiffened cylindrical shell structure is analyzed. In the formulation, allowed to have any prescribed thickness variation, number stiffening rings arbitrary non-uniform cross-section and spacing, and, in addition, concentrated masses, attached either or rings. method solution a modified variational method. First, displacement assumed be representable by series product normal modes simple uniform unknown functions which are dependent only on time. effects non-uniformity shell, presence masses taken into account generalized forces resulting from strain energy inertia. minimization virtual work these external loads yields infinite system coupled, second-order, ordinary differential equations. truncated can then integrated standard methods. Finally, we explain how formulation used solve related problems including static response, natural frequencies determination, elastic stability, vibrations structure-fluid interaction problems.