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cs.CE2025
Structural Symmetry, Multiplicity, and Differentiability of Eigenfrequencies
Shiyao Sun, Kapil Khandelwal
This work investigates the multiplicity and differentiability of eigenfrequencies in structures with various symmetries. In particular, the study explores how the geometric and des…
cs.CE2025
Finite Strain Robust Topology Optimization Considering Multiple Uncertainties
Nan Feng, Guodong Zhang, Kapil Khandelwal
This paper presents a computational framework for the robust stiffness design of hyperelastic structures at finite deformations subject to various uncertain sources. In particular,…
cs.CE2025
A cluster mean approach for topology optimization of natural frequencies and bandgaps with simple/multiple eigenfrequencies
Shiyao Sun, Kapil Khandelwal
This study presents a novel approach utilizing cluster means to address the non-differentiability issue arising from multiple eigenvalues in eigenfrequency and bandgap optimization…