A unified analysis for the transient response of composite laminated curved beam with arbitrary lamination schemes and general boundary restraints

摘要: Abstract In this paper, the method of reverberation ray matrix (MRRM) is extended to develop an exact and unified solution for transient response analysis composite laminated curved beams with arbitrary lamination schemes general boundary restraints. The effects shear deformation, rotary inertia deepness term as well Poisson’s effect are considered in theoretical formulations. Through Laplace transformation, governing differential equations derived frequency domain via Hamilton’s principle, closed form solutions used represent elastic waves propagating beam. As main focus artificial spring technique adopted simulate restraints scattering redefined make MRRM suitable different cases. Then, responses beam under obtained directly by using Neumann series expansion Fast-Fourier transform (FFT) algorithm. Several numerical cases presented test verify accuracy, reliability efficiency present solution. Meanwhile, a systematic parameter investigation performed regarding influences restraint parameters, schemes, material properties, geometry parameters loading types.