Response of Shock Isolators with Piecewise Linear Asymmetric Damping

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 excitatio...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 15; no. 10; p. 1921
Main Authors Mitu, Ana-Maria, Solomon, Ovidiu, Giuclea, Marius, Sireteanu, Tudor
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.10.2023
Subjects
asymmetric damping
Asymmetry
Damping
Degrees of freedom
Equations of motion
Exact solutions
Excitation
forging hammer
Hammers
Isolation systems
Linear systems
Mathematical analysis
Optimization
shock isolation system
Velocity
Vibration
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15101921