This paper deals with the investigation of the dynamics of a periodic beam structure carrying multiple spring-mass systems by using dynamic stiffness method (DSM). Three vibrations are analyzed in terms of the dynamic stiffness matrix of beam element based on classical Bernoulli-Euler beam theory. The local dynamic stiffness matrices for individual beams and spring-mass systems are then assembled into global dynamic stiffness matrices so as to calculate vibration transmission from excitation source to flexible beamlike foundations. The finite element method (FEM) investigation is carried out to validate and demonstrate the accuracy and efficiency of our present formulation in modeling the dynamic behavior of complex periodic beam structures. In addition, parametric influences on vibration transmission are addressed, including different connecting angles, lumped masses, and lower layer spring arrangements.
Associate Professor, Rose-Hulman Institute of Technology
Professional interests include undergraduate engineering education, finite element modeling, ground-borne vibrations, vibrations of musical instruments, and dynamics of toys.
