Sensitivity reanalysis of vibration problem using combined approximations method

Zuo, Wenjie; Huang, Ke; Bai, Jiantao; Guo, Guikai

doi:10.1007/s00158-016-1586-z

Cited by 21 publications

(3 citation statements)

References 29 publications

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“…A preconditioned Lanczos algorithm is proposed to accelerate convergence of the structural static problems by Xu [9,10] . Zuo [11][12][13] applied Combined Approximation method to analyze the sensitivity of vibration problem.…”

Section: Introductionmentioning

confidence: 99%

Structural Dynamic Modification Based on Combined Approximations Method

et al. 2021

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Structural dynamic modification plays an important role in structural dynamic design. This paper presents an algorithm for dynamic modification of the structure, which is based on the Combined Approximations (CA) approach, sensitivity analysis, Taylor series expansion and the least square method. The feasibility of the algorithm is verified by a numerical example and the results show that the algorithm is accurate enough and easy to be implemented.

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Section: Introductionmentioning

confidence: 99%

Structural Dynamic Modification Based on Combined Approximations Method

et al. 2021

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“…[25][26][27] For decades, structural optimization has been maturely applied in automobile industry. [28][29][30][31][32][33] Recently, the substitution of aluminum tube, combined with extrusion process, is introduced to further reduce the structural weight without loss of mechanical performance. According to Table 1, the ratios of stiffness (elasticity modulus) and mass (density) for these two materials are 2.95 and 3, respectively.…”

Section: Introductionmentioning

confidence: 99%

Equivalent substitution criteria of aluminum for steel and its application in automobile structures

Bai

Wang

et al. 2020

Advances in Mechanical Engineering

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Lightweight automobile body structure, made of aluminum, can extend the endurance mileage of electric automobile. However, the mechanisms for the application of aluminum in automobile body structure are not clear until now. The main contribution of this work is to propose a method of equivalent substitution criteria of aluminum for steel. This method researches small deformation and large deformation under bending mode. First, formulations of cross-sectional properties, including open, single-cell, double-cell, three-cell, and four-cell sections, are derived, and equivalent substitution criteria in the case of small deformation, which include equal stiffness design and equal strength design, are initially proposed. Second, in the case of large deformation, the steel circular tube and channel tube are substituted by aluminum tube under equivalent stiffness. The bending resistance of five types of tubes, including rectangular hollow section, rectangular hollow section with double-cell, rectangular hollow section with triple-cell, mild steel, and high-strength steel tube, are, respectively, compared considering crashworthiness under equal mass. Third, the side frame and chassis frame examples verify the effectiveness of the proposed method, which is universal and can also be applied in aerospace structures.

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“…is method uses Taylor series expansion to approximate the current displacement of the modified sensitivity equation and then solves the direct sensitivity equation by a combined approximation method. One year later, the same author [25] conducted a sensitivity analysis of eigenvalues and eigenvectors using a combination approximation method, and the eigenvectors were solved by the Nelson method.…”

Section: Introductionmentioning

confidence: 99%

Structural Reanalysis Based on FRFs Using Sherman–Morrison–Woodbury Formula

Ren

Zhang

2020

Shock and Vibration

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Structural dynamic modification is a popular approach to obtain desire frequencies and dynamic characteristics. It has been observed that reanalyzing the modified structure usually involves complicated calculations when modifications are concerned with numerous degrees of freedom (DOFs), especially adding substructures to these DOFs. This paper proposed a method to reanalyze the frequency response functions (FRFs) of structures with multiple co-ordinates modifications. Two different cases are taken into consideration in the modifications, including adding (or decreasing) masses, stiffness, and damping, as well as adding spring-mass substructures, which makes the method more practical. This method is developed by employing Sherman–Morrison and Woodbury (SMW) formula based on the FRFs related to the modifications coordinates of the original system. The advantage of this method is that neither a physical model nor a modal model is required; instead, it needs only the FRFs, which can be directly measured by experimental modal testing. Another salient feature of this proposed strategy is that the FRFs of the modified structure can be calculated in only one step. Validation of this proposed method is demonstrated using various numerical examples. It is shown that the method is very effective and can be considered for real applications.

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Sensitivity reanalysis of vibration problem using combined approximations method

Cited by 21 publications

References 29 publications

Structural Dynamic Modification Based on Combined Approximations Method

Structural Dynamic Modification Based on Combined Approximations Method

Equivalent substitution criteria of aluminum for steel and its application in automobile structures

Structural Reanalysis Based on FRFs Using Sherman–Morrison–Woodbury Formula

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