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Topology optimization under mixed transient dynamic loads: Explicit–implicit time integration
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DOI：10.1016/j.finel.2026.104529.png)
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Abstract
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• We present a work-based topology optimization for mixed transients (prescribed traction + loading rate), using trapezoidal external work as a unified objective. • Adjoint sensitivities are derived via differentiate-then-discretize and implemented with both implicit HHT- α and explicit central-difference integration. • Numerical results show clear duration effects: long loads yield static-like layouts, whereas short pulses produce inertia-dominated, load-mode-dependent topologies with material concentrating near the load; optimization converges robustly.
Keywords:
Topology optimization
Elastodynamics
Mixed dynamic loads
HHT-α method
Central difference method (CDM)
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