Topology optimization of laminated composite structures with design-dependent loads

2017 ◽  
Vol 167 ◽  
pp. 251-261 ◽  
Author(s):  
Yang Dai ◽  
Miaolin Feng ◽  
Min Zhao
Keyword(s):  
Topology Optimization ◽  
Composite Structures ◽  
Laminated Composite ◽  
Laminated Composite Structures ◽  
Design Dependent Loads

Topology optimization of laminated composite structures under harmonic force excitations

2021 ◽  
pp. 002199832110526
Author(s):  
Zheng Hu ◽  
Shiping Sun ◽  
Oleksii Vambol ◽  
Kun Tan
Keyword(s):  
Topology Optimization ◽  
Composite Laminates ◽  
Composite Structures ◽  
Polynomial Interpolation ◽  
Excitation Frequency ◽  
Laminated Composite ◽  
Optimization Approach ◽  
Harmonic Force ◽  
Laminated Composite Structures ◽  
Analytical Sensitivities

In this paper, a topology optimization approach for the design of laminated composite structures under harmonic force excitations is proposed. A novel method is developed to calculate the harmonic response for composite laminates, which consists of two steps: firstly, based on the strain energy approach, the damping matrix model of composite laminates is established with the proportional damping assumption; then, the displacement response is calculated by the mode acceleration method The design objective of topology optimization is to minimize the displacement amplitude at the concerning point with an excitation frequency or a frequency band. An extended polynomial interpolation scheme is introduced to penalize the stiffness, damped stiffness and mass of elements. The analytical sensitivities of the objective and constraint functions to the density variables are derived in detail, and the globally convergent method of moving asymptotes is used to solve the optimization problem. Numerical examples are performed to demonstrate the effectiveness and feasibility of the proposed topology optimization method in improving the dynamic performance of laminated composite structures. The influence rules of excitation frequency and layer sequence on topologic shape are also discussed.

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