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Transient vibration response study of moulded and pre-stressed silicone elastomer vibration isolators

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Abstract

Moulded elastomeric vibration isolators used in aerospace applications are studied for predicting transient vibration response to typical excitations. Vibration isolators used in the present study undergo non-linear static deformations followed by transient dynamic loads. Static deformation is imposed by the specified displacement during assembly of metallic steel parts of isolator, and a static inertial load is applied as the load rating of the isolators. Statically deformed state is obtained using total Lagrangian approach assuming Hookean material model for metallic parts and Yeoh material model for elastomers. Steel properties are used from the literature, and Yeoh material constants are obtained from uni-axial tension test data of elastomer specimen. For transient response study, dynamic elastomeric constants are obtained from test in a Dynamic Mechanical Analyzer as a frequency–dependant complex function. To account for the pre-deformed state of elastomers, the Yeoh material constants are modified which includes frequency–dependant material characteristics and damping in the range of interest using multiplicative non-separable variable law based on the methodology provided for Mooney–Rivlin model. The Finite Element formulation and experimental validation provided for frequency domain response in the previous work is modified to study the isolators for rectangular and trapezium pulse loads and sinusoidally varying loads. Numerical results are validated with experimental observations for rectangular pulse load.

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All the relevant data required to execute the code are provided in the paper. Any data which publisher requests to be produced will be made available. The finite element formulation and the methodology adopted to obtain the transient response is also provided in the paper. If the publisher feels that the code must be made available, it can be supplied.

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Acknowledgements

The following persons are gratefully acknowledged for their assistance for this work: Dr S Unnikrishnan Nair (Director), Mr Chandramouli, Mr Sai Sandeep Kumar and Mr R.S. Rajeev from VSSC, ISRO, India.

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No funding was received.

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Contributions

SS is the prime contributor in obtaining Y material model using non-separable multiplicative law for pre-stressed elastomers under dynamic loads and formulated the axi-symmetric Finite Element for transient response study. RM meticulously checked the derivations and results obtained using MATLAB code and further assisted in setting up the experiment. Prof SK and Prof SN expertise in the area of structural dynamics and testing were useful in the research work, and they assisted in preparing the manuscript for publication.

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Correspondence to Shankar Krishnapillai.

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Somanath, S., Marimuthu, R., Krishnapillai, S. et al. Transient vibration response study of moulded and pre-stressed silicone elastomer vibration isolators. Int. J. Dynam. Control 12, 1197–1207 (2024). https://doi.org/10.1007/s40435-023-01261-y

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