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Multi-material polygonal structural optimization for functionally graded materials under harmonic force excitation
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DOI：10.1016/j.compstruct.2026.120320.png)
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Abstract
En 中文
This study presents a unified computational framework for multi-material topology optimization of functionally graded structures subjected to harmonic excitation. The proposed methodology integrates polygonal finite elements with functionally graded material (FGM) interpolation within a dynamic stiffness formulation that incorporates Rayleigh damping. The optimization objective is defined as the minimization of dynamic compliance, enabling effective vibration suppression under prescribed excitation frequencies. A generalized SIMP-based multi-material scheme is combined with exponential FGM interpolation to represent both discrete and continuously graded material distributions. The use of polygonal elements provides geometric flexibility and stable numerical performance during iterative optimization. Sensitivity analysis is derived using an adjoint formulation compatible with the frequency-domain equilibrium equation. Numerical case studies, including a double-clamped beam and a wrench-shaped domain, demonstrate effective vibration attenuation and efficient material allocation across varying excitation frequencies. The results confirm the robustness of the proposed framework for designing lightweight and dynamically stable multi-material structures under harmonic loading.
Keywords:
multi-material topology optimization
functionally graded materials
harmonic excitation
dynamic compliance minimization
polygonal finite elements
Journal
IF:
7.1
Papers:
1.8W
Citations:
8.0W