Reduced Multibody System Transfer Matrix Method for Prestressed Flexible Beams

The dynamics of prestressed multibody systems plays a critical role in a wide range of advanced engineering applications, including mechanical systems, aerospace structures, and robotic mechanisms. Initial stresses may cause substantial modifications in both local and global structural stiffness, which in turn profoundly affect the modal behavior and dynamic response of the system. Therefore, their influence must be carefully incorporated into the modeling and analysis of multibody system dynamics. This study focuses on flexible beams and investigates the eigenvalue problem of prestressed flexible beams under cantilevered boundary conditions. The resulting modal characteristics are then employed in the modal superposition method to describe beam deformation. Furthermore, the Reduced Multibody System Transfer Matrix Method is integrated to analyze the dynamic response of prestressed flexible beams, aiming to enhance both the physical fidelity and computational.