Purpose This is an attempt to better bridge the gap between the mathematical and the
engineering/physical aspects of the topic. The authors trace the different sources of non …

The reduced space harmonic balance method is demonstrated to find the maximum
vibration responses of rotor systems. Within the reduced space SQP method, transition from …

We study the alternative 'simultaneous analysis and design'(SAND) formulation of the local
stress‐constrained and slope‐constrained topology design problem. It is demonstrated that …

We study design-set restriction—ie, the issue of nonexistence of solutions, mesh-
dependence, and local minima—in the alternative SAND ('simultaneous analysis and …

This dissertation addresses various topics that emerge from the unification of conventional
structural optimization—based on 'sequential approximate optimization'(SAO)—with the …

In this paper, the union of sequential approximate optimization (SAO) and the 'simultaneous
analysis and design'(SAND) formulation of the local stress-constrained topology …