![]() Hamdia, K.M., Ghasemi, H., Zhuang, X., Rabczuk, T.: Multilevel monte carlo method for topology optimization of flexoelectric composites with uncertain material properties. Giraldo-Londoño, O., Paulino, G.H.: PolyDyna: a Matlab implementation for topology optimization of structures subject to dynamic loads. Ghasemi, H., Park, H.S., Rabczuk, T.: A multi-material level set-based topology optimization of flexoelectric composites. Ghasemi, H., Park, H.S., Rabczuk, T.: A level-set based IGA formulation for topology optimization of flexoelectric materials. Ghasemi, H.: A computational framework for design and optimization of flexoelectric materials. 191, 2077–2094 (2002)įu, C., Ren, X., Yang, Y., Xia, Y., Deng, W.: An interval precise integration method for transient unbalance response analysis of rotor system with uncertainty. 150, 102924 (2020)Ĭhoi, W.S., Park, G.J.: Structural optimization using equivalent static loads at all time intervals. 26, 1691–1709 (2005)Ĭhen, Z., Long, K., Wen, P., Nouman, S.: Fatigue-resistance topology optimization of continuum structure by penalizing the cumulative fatigue damage. The efficiency, reliability and validity of the proposed approach are verified through 2D and 3D examples.īai, Z., Su, Y.: Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. The computational burn of the transient equilibrium equation is considerably relieved by the second-order Krylov subspace reduction. The method of moving asymptotes is employed to solve the well-posed unconstrained programming. ![]() Sensitivity expressions of the proposed AL function with respect to design variables are derived using the differentiate-then-discretize approach. In contrast to aggregation strategy, this paper proposed a lightweight topological design formulation subject to deformation restriction at each time for continuum structure sustaining time-variant loads, by constructing a sequence of unconstrained sub-problems in the form of augmented Lagrange (AL) function. ![]() However, the conventional aggregation method exhibits a dependence on specified parameters. These maximum constraints are typically addressed using an aggregation strategy that approximates the upper bound in a differentiable manner. The extreme deformation control under transient excitation typically takes the forms of bounds in the time domain. ![]()
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