relation: https://khub.utp.edu.my/scholars/8593/
title: On Newton-Raphson formulation and algorithm for displacement based structural dynamics problem with quadratic damping nonlinearity
creator: Koh, K.J.
creator: Yasreen, A.Y.M.
description: Quadratic damping nonlinearity is challenging for displacement based structural dynamics problem as the problem is nonlinear in time derivative of the primitive variable. For such nonlinearity, the formulation of tangent stiffness matrix is not lucid in the literature. Consequently, ambiguity related to kinematics update arises when implementing the time integration-iterative algorithm. In present work, an Euler-Bernoulli beam vibration problem with quadratic damping nonlinearity is addressed as the main source of quadratic damping nonlinearity arises from drag force estimation, which is generally valid only for slender structures. Employing Newton-Raphson formulation, tangent stiffness components associated with quadratic damping nonlinearity requires velocity input for evaluation purpose. For this reason, two mathematically equivalent algorithm structures with different kinematics arrangement are tested. Both algorithm structures result in the same accuracy and convergence characteristic of solution. © The Authors, published by EDP Sciences, 2017.
publisher: EDP Sciences
date: 2017
type: Conference or Workshop Item
type: PeerReviewed
identifier:   Koh, K.J. and Yasreen, A.Y.M.  (2017) On Newton-Raphson formulation and algorithm for displacement based structural dynamics problem with quadratic damping nonlinearity.  In: UNSPECIFIED.     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85021332417&doi=10.1051%2fmatecconf%2f201711101004&partnerID=40&md5=680a475913a79a0cba9e1e6d69c63ba4
relation: 10.1051/matecconf/201711101004
identifier: 10.1051/matecconf/201711101004