Proceedings of the 2015 International Conference on Mechanical Science and Engineering 2016
DOI: 10.2991/mse-15.2016.50
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Abstract: In this paper, two inverse vibration problems of constructing a grounding spring-mass system from its two eigenpairs and part of spring stiffness are considered. The vibration system is constrained to satisfy a relation that the total mass of system is a constant, and the problems are transferred into inverse eigenvalue problems for Jacobi matrix. The necessary and sufficient conditions for the construction of physically realizable systems with positive parameters are derived. Furthermore, the corresponding nu… Show more

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