@Article{cmes.2023.024921,
AUTHOR = {Hongliang Liu, Peijin Wang, Yuan Liang, Kai Long, Dixiong Yang},
TITLE = {Topology Optimization for Harmonic Excitation Structures with Minimum Length Scale Control Using the Discrete Variable Method},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {135},
YEAR = {2023},
NUMBER = {3},
PAGES = {1941--1964},
URL = {http://www.techscience.com/CMES/v135n3/50482},
ISSN = {1526-1506},
ABSTRACT = {Continuum topology optimization considering the vibration response is of great value in the engineering structure
design. The aim of this study is to address the topological design optimization of harmonic excitation structures with
minimum length scale control to facilitate structural manufacturing. A structural topology design based on discrete
variables is proposed to avoid localized vibration modes, gray regions and fuzzy boundaries in harmonic excitation
topology optimization. The topological design model and sensitivity formulation are derived. The requirement of
minimum size control is transformed into a geometric constraint using the discrete variables. Consequently, thin
bars, small holes, and sharp corners, which are not conducive to the manufacturing process, can be eliminated
from the design results. The present optimization design can efficiently achieve a 0–1 topology configuration with
a significantly improved resonance frequency in a wide range of excitation frequencies. Additionally, the optimal
solution for harmonic excitation topology optimization is not necessarily symmetric when the load and support are
symmetric, which is a distinct difference from the static optimization design. Hence, one-half of the design domain
cannot be selected according to the load and support symmetry. Numerical examples are presented to demonstrate
the effectiveness of the discrete variable design for excitation frequency topology optimization, and to improve the
design manufacturability},
DOI = {10.32604/cmes.2023.024921}
}