A general frequency-domain dynamic analysis algorithm for offshore structures with asymmetric matrices

被引:13
作者
Liu, Fushun [1 ,2 ]
Lu, Hongchao [1 ,2 ]
Ji, Chunyan [3 ]
机构
[1] Ocean Univ China, Coll Engn, Qingdao 266100, Peoples R China
[2] Ocean Univ China, Shandong Prov Key Lab Ocean Engn, Qingdao 266100, Peoples R China
[3] Jiangsu Univ Sci & Technol, Sch Naval Architecture & Ocean Engn, Zhenjiang, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Nonclassical structure; Asymmetric damping; Response estimation; Frequency domain; Nonzero initial conditions; Tension leg platform; TENSION LEG PLATFORMS; DAMPED SYSTEMS; SENSITIVITY;
D O I
10.1016/j.oceaneng.2016.08.024
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
Asymmetric system matrices, especially the asymmetric damping matrix, must be considered because of the usual drastic variations between the energy absorption rates of materials in different parts of a structure. This paper proposes a general frequency-domain response estimation method for incorporating possibly asymmetric mass, stiffness and damping matrices in engineering. One achievement is that a general frequency response function (GFRF) is defined by estimating the coefficients, poles and zeros of the structure, rather than by using the eigenvalues and eigenvectors. The second is that nonzero initial conditions can also be considered in the frequency domain. Three examples are employed: a system with four degrees of freedom, a frame structure, and a tension leg platform. One can conclude the following: (1) the proposed method can provide more accurate results for estimating FRFs of the system with asymmetric matrices; (2) traditional frequency-domain method can be regarded as a special case of the approach, just aiming at estimating steady-state responses of the system with symmetric matrices; (3) transient responses of a system with asymmetric matrices can also be estimated properly and with a good efficiency, based on the discretization of the reconstructed external loadings. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:272 / 284
页数:13
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