A general analytical method is developed for the vibrations of two beams coupled together at an arbitrary angle.The stiffness of a joint can take any value from zero to infinity to better model many real-world couplin...A general analytical method is developed for the vibrations of two beams coupled together at an arbitrary angle.The stiffness of a joint can take any value from zero to infinity to better model many real-world coupling conditions.Both flexural and longitudinal waves are included to account for the cross-coupling effects at the junctions.Each displacement compo-nent is here invariantly expressed,regardless of the coupling or boundary conditions,as a Fourier series supplemented by several closed-form functions to ensure the uniform convergence of the series expansions.Examples are presented to compare the current solution with finite element and experimental results.展开更多
文摘A general analytical method is developed for the vibrations of two beams coupled together at an arbitrary angle.The stiffness of a joint can take any value from zero to infinity to better model many real-world coupling conditions.Both flexural and longitudinal waves are included to account for the cross-coupling effects at the junctions.Each displacement compo-nent is here invariantly expressed,regardless of the coupling or boundary conditions,as a Fourier series supplemented by several closed-form functions to ensure the uniform convergence of the series expansions.Examples are presented to compare the current solution with finite element and experimental results.
