We propose a unifying framework for polyhedral approximation in convex optimization. It subsumes classical methods, such as cutting plane and simplicial decomposition, but also includes new methods and new versions/extensions of old methods, such as a simplicial decomposition method for nondifferentiable optimization and a new piecewise linear approximation method for convex single commodity ne...

In this paper, an equivalent linearization method considering higher order statistics based on nonlinear reduced modeling techniques is proposed for the geometrically random vibration problems of complex structures. Nonlinear models structures are constructed by leveraging analysis capabilities commercial finite element codes, and improvement to Stiffness Evaluation Procedure determining stiffn...

Equivalent linearization is an available method widely used to conveniently predict the nonlinear responses of buildings. The present study proposes a seismic response prediction based on equivalent stud-type viscoelastic dampers with amplitude dependencies for that there not lot research discussing estimation such dampers. Through analyses, authors found proposed leads structural design proces...