Response of Shock Isolators with Piecewise Linear Asymmetric Damping

Author:

Mitu Ana-Maria1,Solomon Ovidiu12,Giuclea Marius12,Sireteanu Tudor1

Affiliation:

1. Institute of Solid Mechanics of the Romanian Academy, 15 Constantin Mille, 010141 Bucharest, Romania

2. Department of Applied Mathematics, Bucharest University of Economic Studies, 6 Romana Square, 010374 Bucharest, Romania

Abstract

The output of a single-degree-of-freedom (SDOF) piecewise linear system with asymmetric damping and linear stiffness excited by Dirac impulse excitation is studied. Analytical solutions of the response for piecewise linear systems are obtained by replacing the equation of motion with Dirac excitation by a homogeneous differential system with zero initial displacement and a given initial velocity. A significant improvement of the response consisting in a substantial reduction in the after-shock vibrations was obtained. The obtained results are applied to the damping optimization of a shock isolation system for forging hammers.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference20 articles.

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3. Yadav, S., Yap, F.F., and Peh, T.S. (2019, January 4–6). Design and Analysis of Shock Isolators. Proceedings of the 20th Hwarangdae International Symposium: The 7th International Conference on Design and Analysis of Protective Structures, Seoul, Republic of Korea.

4. Influence of suspension kinematics and damper asymmetry on the dynamic responses of a vehicle under bump and pothole excitations;Balike;SAE Tech. Pap.,2010

5. Exact, single equation, closed-form solution of vibrating systems with piecewise linear springs;J. Sound Vib.,2001

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