Advancing modal analysis of mechanical linkages via differential algebraic equations


DOĞRUER C. U., TOPRAK C. B., YILDIRIM B.

JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI, 2024 (ESCI) identifier

Özet

In this study, the modal analysis of mechanical linkages were investigated across arbitrary configurations. Rigid body motion was successfully decoupled from the flexible motion associated with pseudo -dynamic equilibrium configurations by leveraging linear elasto-dynamic modeling. These equilibrium configurations were determined through the solution of nonlinear differential equations. The analytical investigation reveals that the modal analysis of a mechanical linkage at arbitrary configurations is intricately tied to the position parameters of the linkage. Mode shapes and the spectrum of natural frequencies were dynamically evolved as the mechanical linkage traversed space. To validate the findings, numerical results were presented for a slider -crank mechanism, which were further corroborated through analytical simulations.