Damping design of flexible structures with graded materials under harmonic loading

[+] Author and Article Information
Mahmoud Alfouneh

School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, NSW, 2006, Australia; Mechanical Engineering Department, Zabol University, Zabol, Iran

Liyong Tong

School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, NSW, 2006, Australia

1Corresponding author.

ASME doi:10.1115/1.4039571 History: Received April 18, 2017; Revised March 06, 2018


This article presents a novel moving iso-surface threshold (MIST) method for designing flexible structures using graded materials with multi-volume fractions and constraints and viscous or hysteretic damping under harmonic loadings. By employing a unit dynamic load with the same frequency of an applied load, the displacement amplitude at chosen degrees of freedom (DOFs) can be expressed in an integral form in terms of mutual modal strain and kinetic energy densities over the entire design domain. Such integrals enable the introduction of novel physical response functions for solving a range of topology optimization problems, including single and multiple objectives with single and multiple volume fractions and/or constraints, e. g. SISO and MIMO. Numerical examples are presented to validate the efficiency and capability of the present extended MIST method. Experiments are also conducted on rectangular plates with and without damping layer, fully and optimally covered, to demonstrate the benefits of the optimal damping layer design.

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