Liping Chen

TL;DR: In this article, a Chebyshev polynomial series-based interval analysis method for nonlinear systems with uncertain-but-bounded parameters is proposed. But the method is only suitable for problems with small uncertain levels.

TL;DR: In this article, a computational methodology for analysis of spatial flexible multibody systems, considering the effects of the clearances and lubrication in the system spherical joints, is presented, where the dry contact forces are evaluated through a Hertzian-based contact law, which includes a damping term representing the energy dissipation.

TL;DR: In this article, a planar absolute nodal coordinate formulation based on the locking-free shear deformable beam element is implemented to discretize the flexible bodies and a continuous contact-impact model is used to evaluate the contact force, in which energy dissipation in the form of hysteresis damping is considered.

TL;DR: In this article, a Chebyshev inclusion function based on the truncated Chebyhev series is proposed to achieve sharper and tighter bounds for meaningful solutions of interval functions, to effectively handle the overestimation caused by the wrapping effect, intrinsic to interval computations.

TL;DR: The proposed method is capable of creating new holes freely inside the design domain via boundary incorporating, splitting and merging processes, which makes the final design independent of initial guess, and helps reduce the probability of converging to a local minimum.