Abstract
The force integration method (FIM) and the methods based on the mode transfer principle are the frequently used choices for solving the vibro-impact problem of continuum. Notably, there are different solving options such as numerical and semianalytical procedures. In this paper, a new modeling method based on the mode transfer principle, called the relative mode transfer method (RMTM), is proposed, and its semianalytical solution is obtained. A typical vibro-impact problem of continuum beam is studied. The time-history response under periodic excitation is obtained using the FIM, mode transfer method (MTM) through numerical procedure, and the RMTM through numerical procedure and semianalytical procedure. The effects of the method on the system steady-state response, amplitude-frequency response, and sticking motion are discussed. The impact type is divided into “hard impact” and “soft impact” when obtaining the results.
Highlights
Academic Editor: Huu-Tai ai e force integration method (FIM) and the methods based on the mode transfer principle are the frequently used choices for solving the vibro-impact problem of continuum
A new modeling method based on the mode transfer principle, called the relative mode transfer method (RMTM), is proposed, and its semianalytical solution is obtained
According to whether or not they ignore the impact process time, the above methods can be divided into the following two categories: (1) Discontinuous analysis method: the method based on velocity restitution coefficient, which is called the coefficient of restitution (CoR), belongs to this category. e method considers the contact time of impact to be zero, which is suitable for large stiffness impact vibrations
Summary
Received 17 October 2018; Revised 31 December 2018; Accepted 6 February 2019; Published 22 April 2019. E force integration method (FIM) and the methods based on the mode transfer principle are the frequently used choices for solving the vibro-impact problem of continuum. Due to manufacturing errors and tolerances that occur when connecting through connectors, impact vibrations as a result of contact separation are present in a large number of practical mechanical systems, which leads to complex dynamics such as resonance peak shift, jump, sticking, and rising motion of the collision point. Many of these phenomena need to be avoided when the system is running. (2) Continuous analysis method: both the force integration method (FIM) and the mode transfer method (MTM) techniques belong to this category
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