Overestimation Analysis of Interval Finite Element for Structural Dynamic Response

2019 ◽  
Vol 11 (04) ◽  
pp. 1950035
Author(s):  
Tuanjie Li ◽  
Hangjia Dong ◽  
Xi Zhao ◽  
Yaqiong Tang
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Structural Parameters ◽  
Upper And Lower Bounds ◽  
Response Analysis ◽  
Uncertain Parameters ◽  
Engineering Structures ◽  
Structural Dynamic ◽  
Dynamic Response Analysis ◽  
Interval Parameters

Dynamic response analysis plays an important role for the structural design. For engineering structures, there exist model inaccuracies and structural parameters uncertainties. Consequently, it is necessary to express these uncertain parameters as interval variables and introduce the interval finite element method (IFEM), in which the elements in stiffness matrix, mass matrix and damping matrix are all the function of interval parameters. The dependence of interval parameters leads to overestimation of dynamic response analysis. In order to reduce the overestimation of IFEM, the element-based subinterval perturbation for static analysis is applied to dynamic response analysis. According to the interval range, the interval parameters are divided into different subintervals. With permutation and combination of each subinterval, the upper and lower bounds of displacement response are obtained. Because of the large number of degrees of freedom and uncertain parameters, the Laplace transform is used to evaluate the dynamic response for avoiding to frequently solve the interval finite element linear equations. The numerical examples illustrate the validity and feasibility of the proposed method.

Interval dynamic response analysis of structures with interval parameters

2008 ◽  
Vol 222 (3) ◽  
pp. 377-385 ◽  
Author(s):  
W Gao ◽  
N Zhang ◽  
J Ma ◽  
X B Wang
Keyword(s):  
Dynamic Response ◽  
Structural Parameters ◽  
Dynamic Responses ◽  
Truss Structures ◽  
Response Analysis ◽  
Superposition Method ◽  
Structural Dynamic ◽  
Dynamic Response Analysis ◽  
Interval Parameters ◽  
Mode Superposition Method

Dynamic response analysis of truss structures with interval parameters under interval loads are investigated using a new method called the interval factor method (IFM). Using the IFM, the structural physical parameters, geometric dimensions, and loads can be considered as interval variables. The structural stiffness and mass matrices can then, respectively, be described by the product of two parts corresponding to the deterministic matrix and the interval factors of structural parameters. The computational expressions for the midpoint value, lower and upper bounds of the structural dynamic responses are derived by means of the mode superposition method and interval operations. The influences of the uncertainty of the structural parameters and loads on the structural dynamic responses are demonstrated by using truss structures.

scholarly journals Finite Element Vibration and Dynamic Response Analysis of Engineering Structures

2000 ◽  
Vol 7 (1) ◽  
pp. 39-56 ◽  
Author(s):  
Jaroslav Mackerle
Keyword(s):  
Finite Element ◽  
Conference Proceedings ◽  
Dynamic Response ◽  
Response Analysis ◽  
Structural Systems ◽  
Coastal Structures ◽  
Engineering Structures ◽  
Dynamic Response Analysis ◽  
Ground Structures

This bibliography lists references to papers, conference proceedings, and theses/dissertations dealing with finite element vibration and dynamic response analysis of engineering structures that were published from 1994 to 1998. It contains 539 citations. The following types of structures are included: basic structural systems; ground structures; ocean and coastal structures; mobile structures; and containment structures.

Dynamic Response Analysis of Tandem Rolling Mill in Rolling Process

2018 ◽  
Vol 764 ◽  
pp. 391-398
Author(s):  
Xing Han ◽  
Lian Jin Li
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Rolling Mill ◽  
Rolling Force ◽  
Rolling Process ◽  
Steel Pipe ◽  
Response Analysis ◽  
Dynamic Response Analysis ◽  
Finite Element Software ◽  
Seamless Steel

Due to the influence of rolling force fluctuations, tube size changes and material uniformity and other factors, vibration and other phenomenon inevitably occur in the rolling process of tandem rolling mill. This vibration has a great impact on the dynamic stability of the mill and rolling reduction, and will significantly reduce the dimensional accuracy and surface quality of seamless steel pipe. In this paper, the non-linear finite element software ABAQUS is used to simulate the rolling process of seamless steel pipe. First, rolling force of the first frame with the maximum rolling force of PQF rolling mill is calculated. The reliability of rolling force calculated by the finite element method is verified by the test experiment. The dynamic response analysis of the roll is carried out to obtain the dynamic response curve of the roll in the rolling state and to provide technical support for the rolling schedule with the calculated rolling force being the load.

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