A composite collocation method with low-period elongation for structural dynamics problems

Huang, Ce; Fu, Minghui

doi:10.1016/j.compstruc.2017.09.012

Cited by 17 publications

(3 citation statements)

References 28 publications

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“…The linear structural dynamic problem used here as a demonstration example is based on [64], which has found usage as a benchmark in [65][66][67][68][69][70][71]. This unitless problem is schematically shown in Figure 2.…”

Section: Structural Dynamicsmentioning

confidence: 99%

Analytical Sensitivity Analysis of Dynamic Problems with Direct Differentiation of Generalized-α Time Integration

Wehrle,

Gufler

2024

Machines

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In this paper, the direct differentiation of generalized-α time integration is derived, equations are introduced and results are shown. Although generalized-α time integration has found usage, the derivation and the resulting equations for the analytical sensitivity analysis via direct differentiation are missing. Thus, here, the sensitivity equations of generalized-α time integration via direct differentiation are provided. Results with generalized-α are compared with Newmark-β time integration and their sensitivities with numerical sensitivities via forward finite differencing in terms of accuracy and performance. An example is shown for each linear structural dynamics and flexible multibody dynamics.

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Section: Structural Dynamicsmentioning

confidence: 99%

Analytical Sensitivity Analysis of Dynamic Problems with Direct Differentiation of Generalized-α Time Integration

Wehrle,

Gufler

2024

Machines

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“…Such an effect could be also controlled by optimizing the weighting coefficients in the integral . To suppress the virtual high‐order vibration response, Huang and Fu proposed an unconditionally stable algorithm based on the collocation method. To enhance the convergence of the classical Newton–Raphson (NR) algorithm and the modified Newton–Raphson (MNR) algorithm, Scott and Fenves proposed the Krylov subspace accelerated Newton iterative algorithm, that is, the Krylov–Newton–Raphson (KNR) and Krylov modified Newton–Raphson (KMNR) algorithms.…”

Section: Introductionmentioning

confidence: 99%

A temporal hybrid dynamic integration algorithm strategy for inelastic time history analysis of high‐rise reinforced concrete structures under strong earthquakes

Ren

2019

Structural Design Tall Build

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Summary A complete earthquake time history analysis (THA) requires a stable, accurate, and efficient dynamic integration algorithm. It is not rare to encounter numerical divergence when some implicit algorithms are used to deal with severe materially or geometrically nonlinearities. For explicit algorithms, computational efficiency is always a major concern. A temporal hybrid dynamic algorithm (THDA) strategy, which is specialized in the inelastic THAs of high‐rise reinforced concrete (RC) structures experiencing severe plasticity development, is developed herein. A preliminary evaluation is carried out on three low‐rise structural models, that is, two frame structures and one wall‐frame structure, for each group of collected implicit algorithms and explicit algorithms. From the evaluation, four alternatives are generated for the subsequent detailed assessment. A general framework for the THDA is proposed and implemented on a finite element analytical platform. The four alternatives are assessed based on their performance on a high‐rise frame core‐tube RC structure. The assessment indicates that the proposed THDA strategy can give rise to a more compatible dynamic integration algorithm for the complete THAs of high‐rise building structures when they are experiencing severe damage. The concerns about the computational stability, accuracy, and efficiency of the dynamic algorithms can be well balanced by the THDA.

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“…In structural dynamic analysis, direct time integration algorithms are widely used to solve the motion equation [1]. Many researchers [2][3][4] have focused on the improvement of numerical properties of time integration algorithms, such as numerical stability, accuracy, numerical dissipation, and computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

A Modified Precise Integration Method for Long-Time Duration Dynamic Analysis

Huang

2018

Mathematical Problems in Engineering

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This paper presents a modified Precise Integration Method (PIM) for long-time duration dynamic analysis. The fundamental solution and loading operator matrices in the first time substep are numerically computed employing a known unconditionally stable method (referred to as original method in this paper). By using efficient recursive algorithms to evaluate these matrices in the first time-step, the same numerical results as those using the original method with small time-step are obtained. The proposed method avoids the need of matrix inversion and numerical quadrature formulae, while the particular solution obtained has the same accuracy as that of the homogeneous solution. Through setting a proper value of the time substep, satisfactory accuracy and numerical dissipation can be achieved.

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A composite collocation method with low-period elongation for structural dynamics problems

Cited by 17 publications

References 28 publications

Analytical Sensitivity Analysis of Dynamic Problems with Direct Differentiation of Generalized-α Time Integration

Analytical Sensitivity Analysis of Dynamic Problems with Direct Differentiation of Generalized-α Time Integration

A temporal hybrid dynamic integration algorithm strategy for inelastic time history analysis of high‐rise reinforced concrete structures under strong earthquakes

A Modified Precise Integration Method for Long-Time Duration Dynamic Analysis

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