A New Semi-explicit Model-based Integration Algorithm with High Accuracy

doi:10.11908/j.issn.0253-374x.21547

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A New Semi-explicit Model-based Integration Algorithm with High Accuracy
DOI:
                        10.11908/j.issn.0253-374x.21547
                    
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                        FU BoFU Bo
School of Civil Engineering， Chang’an University， Xi’an 710061， China
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ZHANG FutaiZHANG Futai
School of Civil Engineering， Chang’an University， Xi’an 710061， China
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CHEN JinCHEN Jin
School of Civil Engineering， Chang’an University， Xi’an 710061， China
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Affiliation:School of Civil Engineering， Chang’an University， Xi’an 710061， China
Clc Number:TU311.3
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Abstract:

A new model-based integration algorithm with high accuracy is proposed. The proposed algorithm adopts the formulations of velocity and displacement of the semi-explicit Chang algorithm but uses different integration parameters. The integration parameters of the new algorithm are derived by using the zero-pole matching in discrete control theory and second-order Pade approximation. The numerical properties including accuracy， stability， period elongation and amplitude decay are analyzed. Compared with the Newmark family algorithms and two typical model-based integration algorithms， the proposed algorithm is fourth-order accurate and possess extremely small period error. Finally， the high accuracy of the algorithm is demonstrated by three numerical examples.

Key words:Integration algorithm;explicit;model-based;accuracy;period elongation

Reference

[1] KOLAY C, RICLES J M. Assessment of explicit and semi-explicit classes of model-based algorithms for direct integration in structural dynamics [J]. International Journal for Numerical Methods in Engineering, 2016, 107(1):49.

[2] 彭天波, 谢馨, 曾忠, 等. 采用Chang方法的混合试验的稳定性和精度[J]. 同济大学学报(自然科学版), 2014, 42(12): 1790.PENG Tianbo, XIE Xin, ZENG Zhong, et al. Stability and accuracy of sharking table-actuator hybrid test with Chang method [J]. Journal of Tongji University (Natural Science), 2014, 42(12): 1790.

[3] KOLAY C, RICLES J M. Force-based frame element implementation for real-time hybrid simulation using explicit direct integration algorithms [J]. Journal of Structural Engineering, 2018, 144(2): 04017191.

[4] 傅博, 蒋欢军. 具有高稳定性的剪切型子结构振动台试验[J]. 同济大学学报(自然科学版), 2017, 45(11): 1602.FU Bo, JIANG Huanjun. Shear-type substructure sharking table testing method with high stability [J]. Journal of Tongji University (Natural Science), 2017, 45(11): 1602.

[5] FENG D C, KOLAY C, RICLES J M, et al. Collapse simulation of reinforced concrete frame structures [J]. The Structural Design of Tall and Special Buildings, 2016, 25(12): 578.

[6] CHANG S Y. Explicit pseudodynamic algorithm with unconditional stability [J]. Journal of Engineering Mechanics, 2002, 128(9): 935.

[7] CHEN C, RICLES J M. Development of direct integration algorithms for structural dynamics using discrete control theory [J]. Journal of Engineering Mechanics, 2008, 134(8): 676.

[8] GUI Y, WANG J T, JIN F, et al. Development of a family of explicit algorithms for structural dynamics with unconditional stability [J]. Nonlinear Dynamics, 2014, 77(4): 1157.

[9] FU B, FENG D C, JIANG H. A new family of explicit model-based integration algorithms for structural dynamic analysis [J], International Journal of Structural Stability and Dynamics, 19(6): 1950053.

[10] NEWMARK N M. A method of computation for structural dynamics [J]. Journal of the Engineering Mechanics 1959, 85(3): 67―94.

[11] HILBER H M. Analysis and design of numerical integration methods in structural dynamics [R]. Berkeley: Earthquake Engineering Research Center, 1976.

[12] CHOPRA A K. Dynamics of structures: theory and applications to earthquake engineering [M]. 4th ed. Upper Saddle River: Prentice Hall, 2011.

[13] The MathWorks Inc. Matlab R2014b [EB/OL].[2021-08-29] http://www.mathworks.com.

[14] 傅博, 蒋欢军. 使用基于模型的积分算法的钢框架非线性时程分析[J]. 土木工程学报, 2018, 51(S1): 63.FU Bo, JIANG Huanjun. Nonlinear time history analysis of steel frame using model-based integration algorithm [J]. China Civil Engineering Journal, 2018, 51(S1): 63.

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FU Bo, ZHANG Futai, CHEN Jin. A New Semi-explicit Model-based Integration Algorithm with High Accuracy[J].同济大学学报(自然科学版),2023,51(5):738~746

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Received:November 25,2021
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Online: May 30,2023
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