This paper proposes an inverse structural modification method for the assignment of antiresonances in undamped vibrating systems by modifying the inertial and elastic properties of the existing degrees of freedom of the original system. Hence, no additional degrees of freedom are added to the system. The problem is formulated as an eigenstructure assignment approach since such a novel formulation is suitable for complex systems, such as those modeled through finite elements. Indeed, these systems are difficult to handle with the methods already proposed in the literature. Additionally, the proposed approach is suitable for both point and cross receptances. Assignment is cast as a constrained non-convex non-linear minimization problem and the proposed solving strategy is based on the homotopy optimization approach. The method effectiveness is shown through three meaningful test cases.
Antiresonance assignment in point and cross receptances for undamped vibrating systems
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the Journal of Mechanical Design. Manuscript received February 12, 2019; final manuscript received July 3, 2019; published online xx xx, xxxx. Assoc. Editor: Massimo Callegari.
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Belotti, R., Richiedei, D., and Tamellin, I. (July 24, 2019). "Antiresonance assignment in point and cross receptances for undamped vibrating systems." ASME. J. Mech. Des. doi: https://doi.org/10.1115/1.4044329
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