Mechanical Engineering - Mechanical Systems Dynamics

Full exam

Mechanical System Dynamics Proff. Corradi, Melzi and Zasso 14 th of Ju ly 20 2 3 For t he mechanical system in figure: 1) show the procedure for computing the natural frequencies and the mode shapes of the system ; 2) provide the expression of the generalized force vector Q (t) associated to the first n vibration modes, accounting for the imposed displacement z (t). AAACAXicbVDJSgNBEO2JW4xb1IvgpTER9BJmBJeLIHrxpoJZIBlDT6eStPYsdNcIyRAv/ooXD4p49S+8+Td2kjmo8UHB470qqup5kRQabfvLykxNz8zOZedzC4tLyyv51bWKDmPFocxDGaqaxzRIEUAZBUqoRQqY70moendnQ796D0qLMLjGXgSuzzqBaAvO0EjN/Eaxv4O7x/2mTeEmuW1c+NBhFAfFZr5gl+wR6CRxUlIgKS6b+c9GK+SxDwFyybSuO3aEbsIUCi5hkGvEGiLG71gH6oYGzAftJqMPBnTbKC3aDpWpAOlI/TmRMF/rnu+ZTp9hV//1huJ/Xj3G9pGbiCCKEQI+XtSOJcWQDuOgLaGAo+wZwrgS5lbKu0wxjia0nAnB+fvyJKnslZyD0v7VXuHkNI0jSzbJFtkhDjkkJ+ScXJIy4eSBPJEX8mo9Ws/Wm/U+bs1Y6cw6+QXr4xtWpZWO z(t)= z0ej⌦t