eprintid: 8593
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/85/93
datestamp: 2023-11-09 16:20:30
lastmod: 2023-11-09 16:20:30
status_changed: 2023-11-09 16:13:02
type: conference_item
metadata_visibility: show
creators_name: Koh, K.J.
creators_name: Yasreen, A.Y.M.
title: On Newton-Raphson formulation and algorithm for displacement based structural dynamics problem with quadratic damping nonlinearity
ispublished: pub
keywords: Drag; Iterative methods; Kinematics; Stiffness; Stiffness matrix; Structural dynamics; Vibration analysis, Convergence characteristics; Displacement-Based; Equivalent algorithm; Euler Bernoulli beams; Iterative algorithm; Primitive variables; Slender structures; Tangent stiffness matrix, Damping
note: cited By 1; Conference of 2nd International Conference on Fluids and Chemical Engineering, FluidsChE 2017 ; Conference Date: 4 April 2017 Through 6 April 2017; Conference Code:128326
abstract: 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.
date: 2017
publisher: EDP Sciences
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85021332417&doi=10.1051%2fmatecconf%2f201711101004&partnerID=40&md5=680a475913a79a0cba9e1e6d69c63ba4
id_number: 10.1051/matecconf/201711101004
full_text_status: none
publication: MATEC Web of Conferences
volume: 111
refereed: TRUE
issn: 2261236X
citation:   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.