A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures
To eliminate the errors caused by the conventional interval perturbation finite element method due to classic interval arithmetic and neglect of higher‐order terms, we propose a novel univariate dimension‐reduction based interval finite element method to predict the static response bounds of structu...
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| Published in | International journal for numerical methods in engineering Vol. 124; no. 12; pp. 2709 - 2730 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Hoboken, USA
John Wiley & Sons, Inc
30.06.2023
Wiley Subscription Services, Inc |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0029-5981 1097-0207 |
| DOI | 10.1002/nme.7225 |
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| Abstract | To eliminate the errors caused by the conventional interval perturbation finite element method due to classic interval arithmetic and neglect of higher‐order terms, we propose a novel univariate dimension‐reduction based interval finite element method to predict the static response bounds of structures with uncertain but bounded parameters. First, a univariate dimension‐reduction algorithm is derived using the generalized Taylor expansion. The global stiffness matrix is expressed as the sum of the median and the univariate disturbance radius. Compared with Taylor expansion approximation, the univariate dimension‐reduction approximation has higher accuracy and does not increase the amount of calculation. Then the inverse of the interval global stiffness matrix is approximated as an improved Neumann series. Higher‐ order terms are included by summing up the geometric terms in the Neumann series. Finally, the improved interval algorithm is used to solve the upper and lower bounds of the structural displacement response and the element stress response. The dependence between the interval parameters is accounted in comparison with the classic interval algorithm. The accuracy and effectiveness of the new method are validated by numerical cases on 2D truss, 3D frame and truck frame with multiple interval parameters. |
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| AbstractList | To eliminate the errors caused by the conventional interval perturbation finite element method due to classic interval arithmetic and neglect of higher‐order terms, we propose a novel univariate dimension‐reduction based interval finite element method to predict the static response bounds of structures with uncertain but bounded parameters. First, a univariate dimension‐reduction algorithm is derived using the generalized Taylor expansion. The global stiffness matrix is expressed as the sum of the median and the univariate disturbance radius. Compared with Taylor expansion approximation, the univariate dimension‐reduction approximation has higher accuracy and does not increase the amount of calculation. Then the inverse of the interval global stiffness matrix is approximated as an improved Neumann series. Higher‐ order terms are included by summing up the geometric terms in the Neumann series. Finally, the improved interval algorithm is used to solve the upper and lower bounds of the structural displacement response and the element stress response. The dependence between the interval parameters is accounted in comparison with the classic interval algorithm. The accuracy and effectiveness of the new method are validated by numerical cases on 2D truss, 3D frame and truck frame with multiple interval parameters. |
| Author | Xu, Qianhui Zhao, Heng Li, Feng Pei, Chunyan |
| Author_xml | – sequence: 1 givenname: Heng orcidid: 0000-0001-9333-1762 surname: Zhao fullname: Zhao, Heng organization: Jilin University – sequence: 2 givenname: Feng orcidid: 0000-0001-5602-0017 surname: Li fullname: Li, Feng email: fengli@jlu.edu.cn organization: Jilin University – sequence: 3 givenname: Qianhui surname: Xu fullname: Xu, Qianhui organization: Jilin University – sequence: 4 givenname: Chunyan surname: Pei fullname: Pei, Chunyan organization: Jilin University |
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| CitedBy_id | crossref_primary_10_1016_j_engstruct_2024_117753 crossref_primary_10_1016_j_cma_2024_117098 crossref_primary_10_1016_j_cma_2024_116811 |
| Cites_doi | 10.1002/nme.281 10.1016/j.ress.2022.108956 10.1023/B:NUMA.0000049462.70970.b6 10.1016/S0045-7825(96)01211-X 10.1016/j.engstruct.2011.08.029 10.1007/s00366-019-00803-3 10.1016/j.jsv.2019.114939 10.1115/1.4023021 10.1007/s11433-011-4570-z 10.1007/s00366-022-01615-8 10.1080/15502287.2013.807092 10.1016/j.cma.2018.10.047 10.1016/j.cma.2016.09.009 10.1007/s00158-019-02349-w 10.1016/j.ymssp.2022.108935 10.1137/1.9780898717716 10.2514/2.164 10.1016/j.cma.2018.08.043 10.1002/nme.6751 10.1016/j.compstruc.2009.11.003 10.1109/ISCAS.2013.6572301 10.1002/nme.7092 10.1016/j.compstruc.2012.08.010 10.1007/s11433-014-5628-5 10.1016/j.ress.2021.107520 10.1007/s00466-020-01870-w 10.1142/S0219876206000771 10.1002/nme.6617 10.1002/nme.6910 10.1002/nme.5523 10.1016/j.ast.2022.107745 10.1016/j.jsv.2022.116755 10.1016/j.compstruct.2021.115132 10.1016/j.ijfatigue.2020.105912 10.1016/j.enganabound.2020.07.016 10.1016/j.ymssp.2022.109619 10.1002/nme.6616 10.1016/j.mechrescom.2012.04.004 10.1109/ACCESS.2021.3056890 10.1007/s10409-015-0525-3 10.1016/0960-0779(95)00065-8 10.1061/(ASCE)EM.1943-7889.0001962 10.1016/j.advengsoft.2018.11.001 10.1016/j.isatra.2022.10.033 10.1016/j.compstruc.2009.02.009 10.1016/j.apm.2018.02.022 10.1016/j.ress.2022.108361 10.1007/s40815-019-00655-5 10.1016/j.apm.2021.09.030 |
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| References_xml | – volume: 38 start-page: 5321 year: 2022 end-page: 5338 article-title: Size‐controlled cross‐scale robust topology optimization based on adaptive subinterval dimension‐wise method considering interval uncertainties publication-title: Eng Comput – volume: 87 start-page: 582 issue: 9‐10 year: 2009 end-page: 590 article-title: An efficient method for evaluating the natural frequencies of structures with uncertain‐but‐bounded parameters publication-title: Comput Struct – year: 2009 – volume: 122 start-page: 4922 issue: 18 year: 2021 end-page: 4943 article-title: A Newton iteration‐based interval analysis method for nonlinear structural systems with uncertain‐but‐bounded parameters publication-title: Int J Numer Methods Eng – volume: 59 start-page: 680 year: 2018 end-page: 695 article-title: A dimension‐wise method and its improvement for multidisciplinary interval uncertainty analysis publication-title: Appl Math Model – volume: 37 start-page: 147 issue: 1 year: 2004 end-page: 158 article-title: Affine arithmetic: concepts and applications publication-title: Numer Algorithms – volume: 142 year: 2021 article-title: Probabilistic modeling of uncertainties in fatigue reliability analysis of turbine bladed disks publication-title: Int J Fatigue – volume: 66 start-page: 745 issue: 4 year: 2020 end-page: 771 article-title: Bi‐fidelity stochastic gradient descent for structural optimization under uncertainty publication-title: Comput Mech – volume: 53 start-page: 393 issue: 2 year: 2002 end-page: 407 article-title: Interval static displacement analysis for structures with interval parameters publication-title: Int J Numer Methods Eng – volume: 102 start-page: 285 year: 2022 end-page: 304 article-title: Non‐probabilistic optimization model of engineering structures with dependent interval variables publication-title: Appl Math Model – volume: 221 year: 2022 article-title: Time‐dependent reliability‐based optimization for structural‐topological configuration design under convex‐bounded uncertain modeling publication-title: Reliab Eng Syst Safe – volume: 284 year: 2022 article-title: A review on stochastic multiscale analysis for FRP composite structures publication-title: Compos Struct – volume: 112 start-page: 711 issue: 7 year: 2017 end-page: 736 article-title: The vertex solution theorem and its coupled framework for static analysis of structures with interval parameters publication-title: Int J Numer Methods Eng – volume: 44 start-page: 1 year: 2012 end-page: 8 article-title: Novel parameterized intervals may lead to sharp bounds publication-title: Mech Res Commun – volume: 36 start-page: 1889 issue: 4 year: 2020 end-page: 1902 article-title: An effective optimization‐based parameterized interval analysis approach for static structural response with multiple uncertain parameters publication-title: Eng Comput – volume: 57 start-page: 2231 year: 2022 end-page: 2251 article-title: A subinterval bivariate dimension‐reduction method for nonlinear problems with uncertainty parameters publication-title: Meccanica – volume: 210 year: 2021 article-title: Randomized quasi‐Monte Carlo methods in global sensitivity analysis publication-title: Reliab Eng Syst Safe – volume: 35 start-page: 727 issue: 4 year: 1997 end-page: 735 article-title: Analysis of uncertain structural systems using interval analysis publication-title: AIAA J – volume: 152 start-page: 361 issue: 3‐4 year: 1998 end-page: 372 article-title: Antioptimization of structures with large uncertain‐but‐non‐random parameters via interval analysis publication-title: Comput Methods Appl Mech Eng – volume: 61 start-page: 123 issue: 1 year: 2020 end-page: 139 article-title: Prediction on the static response of structures with large‐scale uncertain‐but‐bounded parameters based on the adjoint sensitivity analysis publication-title: Struct Multidiscip Optim – volume: 7 start-page: 425 issue: 3 year: 1996 end-page: 434 article-title: Bounds of eigenvalues for structures with an interval description of uncertain‐but‐non‐random parameters publication-title: Chaos Solitons Fractals – volume: 88 start-page: 247 issue: 3‐4 year: 2010 end-page: 254 article-title: Improving interval analysis in finite element calculations by means of affine arithmetic publication-title: Comput Struct – volume: 311 start-page: 671 year: 2016 end-page: 697 article-title: A novel interval finite element method based on the improved interval analysis publication-title: Comput Methods Appl Mech Eng – volume: 9 start-page: 39138 year: 2021 end-page: 39153 article-title: Designing robust control for permanent magnet synchronous motor: fuzzy based and multivariable optimization approach publication-title: IEEE Access – volume: 172 year: 2022 article-title: A distributed dynamic load identification method based on the hierarchical‐clustering‐oriented radial basis function framework using acceleration signals under convex‐fuzzy hybrid uncertainties publication-title: Mech Syst Signal Process – year: 2022 article-title: A two‐stage dimension‐reduced dynamic reliability evaluation (TD‐DRE) method for vibration control structures based on interval collocation and narrow bounds theories publication-title: ISA Trans – volume: 128 year: 2022 article-title: Interval‐based optimal trajectory tracking control method for manipulators with clearance considering time‐dependent reliability constraints publication-title: Aerosp Sci Technol – start-page: 2155 year: 2013 end-page: 2158 – volume: 112 start-page: 235 year: 2012 end-page: 244 article-title: Interval analysis of acoustic field with uncertain‐but‐bounded parameters publication-title: Comput Struct – volume: 122 start-page: 2179 issue: 9 year: 2021 end-page: 2204 article-title: An adjoint‐assisted multilevel multifidelity method for uncertainty quantification and its application to turbomachinery manufacturing variability publication-title: Int J Numer Methods Eng – volume: 462 year: 2019 article-title: Interval and subinterval perturbation finite element‐boundary element method for low‐frequency uncertain analysis of structural‐acoustic systems publication-title: J Sound Vib – volume: 33 start-page: 3299 issue: 12 year: 2011 end-page: 3310 article-title: An efficient methodology for robustness evaluation by advanced interval analysis using updated second‐order Taylor series expansion publication-title: Eng Struct – volume: 14 start-page: 495 issue: 6 year: 2013 end-page: 504 article-title: Whys and hows of the parameterized interval analyses: a guide for the perplexed publication-title: Int J Comput Methods Eng Sci Mech – volume: 230 year: 2023 article-title: Two‐stage vibration‐suppression framework for optimal robust placements design and reliable PID gains design via set‐crossing theory and artificial neural network publication-title: Reliab Eng Syst Safe – volume: 55 start-page: 66 issue: 1 year: 2012 end-page: 77 article-title: A collocation interval analysis method for interval structural parameters and stochastic excitation publication-title: Sci China Phys Mech Astron – volume: 119 start-page: 190 year: 2020 end-page: 202 article-title: High precision interval analysis of the frequency response of structural‐acoustic systems with uncertain‐but‐bounded parameters publication-title: Eng Anal Bound Elem – volume: 147 issue: 11 year: 2021 article-title: Interval analysis of interior acoustic field with element‐by‐element‐based interval finite‐element method publication-title: J Eng Mech – volume: 58 start-page: 1 issue: 1 year: 2015 end-page: 9 article-title: Modified perturbation method for eigenvalues of structure with interval parameters publication-title: Sci China Phys Mech Astron – volume: 122 start-page: 2095 issue: 8 year: 2021 end-page: 2111 article-title: Robust topology optimization methodology for continuum structures under probabilistic and fuzzy uncertainties publication-title: Int J Numer Methods Eng – volume: 21 start-page: 1418 issue: 5 year: 2019 end-page: 1429 article-title: Fuzzy reliability‐based optimization for engineering system design publication-title: Int J Fuzzy Syst – volume: 346 start-page: 727 year: 2019 end-page: 745 article-title: A Bayesian collocation method for static analysis of structures with unknown‐but‐bounded uncertainties publication-title: Comput Methods Appl Mech Eng – volume: 3 start-page: 229 issue: 2 year: 2006 end-page: 244 article-title: Interval and subinterval analysis methods of the structural analysis and their error estimations publication-title: Int J Comput Methods – volume: 345 start-page: 774 year: 2019 end-page: 804 article-title: A non‐intrusive B‐splines Bézier elements‐based method for uncertainty propagation publication-title: Comput Methods Appl Mech Eng – volume: 183 year: 2023 article-title: A state‐of‐the‐art review on uncertainty analysis of rotor systems publication-title: Mech Syst Signal Process – volume: 80 issue: 4 year: 2013 article-title: Modified interval perturbation finite element method for a structural‐acoustic system with interval parameters publication-title: J Appl Mech – volume: 524 year: 2022 article-title: Surrogate modeling for dynamic analysis of an uncertain notched rotor system and roles of Chebyshev parameters publication-title: J Sound Vib – volume: 128 start-page: 1 year: 2019 end-page: 19 article-title: An interval finite element method for the analysis of structures with spatially varying uncertainties publication-title: Adv Eng Softw – volume: 123 start-page: 5884 issue: 23 year: 2022 end-page: 5906 article-title: An efficient reduced‐order method for stochastic eigenvalue analysis publication-title: Int J Numer Methods Eng – volume: 123 start-page: 1654 issue: 7 year: 2022 end-page: 1672 article-title: Novel solution framework for inverse problem considering interval uncertainty publication-title: Int J Numer Methods Eng – volume: 32 start-page: 743 issue: 4 year: 2016 end-page: 752 article-title: Interval arithmetic operations for uncertainty analysis with correlated interval variables publication-title: Acta Mech Sin – ident: e_1_2_9_36_1 doi: 10.1002/nme.281 – ident: e_1_2_9_33_1 doi: 10.1016/j.ress.2022.108956 – ident: e_1_2_9_46_1 doi: 10.1023/B:NUMA.0000049462.70970.b6 – volume: 57 start-page: 2231 year: 2022 ident: e_1_2_9_10_1 article-title: A subinterval bivariate dimension‐reduction method for nonlinear problems with uncertainty parameters publication-title: Meccanica – ident: e_1_2_9_35_1 doi: 10.1016/S0045-7825(96)01211-X – ident: e_1_2_9_41_1 doi: 10.1016/j.engstruct.2011.08.029 – ident: e_1_2_9_30_1 doi: 10.1007/s00366-019-00803-3 – ident: e_1_2_9_38_1 doi: 10.1016/j.jsv.2019.114939 – ident: e_1_2_9_42_1 doi: 10.1115/1.4023021 – ident: e_1_2_9_19_1 doi: 10.1007/s11433-011-4570-z – ident: e_1_2_9_25_1 doi: 10.1007/s00366-022-01615-8 – ident: e_1_2_9_29_1 doi: 10.1080/15502287.2013.807092 – ident: e_1_2_9_23_1 doi: 10.1016/j.cma.2018.10.047 – ident: e_1_2_9_47_1 doi: 10.1016/j.cma.2016.09.009 – ident: e_1_2_9_27_1 doi: 10.1007/s00158-019-02349-w – ident: e_1_2_9_21_1 doi: 10.1016/j.ymssp.2022.108935 – ident: e_1_2_9_44_1 doi: 10.1137/1.9780898717716 – ident: e_1_2_9_16_1 doi: 10.2514/2.164 – ident: e_1_2_9_22_1 doi: 10.1016/j.cma.2018.08.043 – ident: e_1_2_9_11_1 doi: 10.1002/nme.6751 – ident: e_1_2_9_45_1 doi: 10.1016/j.compstruc.2009.11.003 – ident: e_1_2_9_50_1 doi: 10.1109/ISCAS.2013.6572301 – ident: e_1_2_9_7_1 doi: 10.1002/nme.7092 – ident: e_1_2_9_37_1 doi: 10.1016/j.compstruc.2012.08.010 – ident: e_1_2_9_43_1 doi: 10.1007/s11433-014-5628-5 – ident: e_1_2_9_14_1 doi: 10.1016/j.ress.2021.107520 – ident: e_1_2_9_26_1 doi: 10.1007/s00466-020-01870-w – ident: e_1_2_9_39_1 doi: 10.1142/S0219876206000771 – ident: e_1_2_9_3_1 doi: 10.1002/nme.6617 – ident: e_1_2_9_12_1 doi: 10.1002/nme.6910 – ident: e_1_2_9_17_1 doi: 10.1002/nme.5523 – ident: e_1_2_9_13_1 doi: 10.1016/j.ast.2022.107745 – ident: e_1_2_9_20_1 doi: 10.1016/j.jsv.2022.116755 – ident: e_1_2_9_5_1 doi: 10.1016/j.compstruct.2021.115132 – ident: e_1_2_9_6_1 doi: 10.1016/j.ijfatigue.2020.105912 – ident: e_1_2_9_51_1 doi: 10.1016/j.enganabound.2020.07.016 – ident: e_1_2_9_2_1 doi: 10.1016/j.ymssp.2022.109619 – ident: e_1_2_9_15_1 doi: 10.1002/nme.6616 – ident: e_1_2_9_28_1 doi: 10.1016/j.mechrescom.2012.04.004 – ident: e_1_2_9_8_1 doi: 10.1109/ACCESS.2021.3056890 – ident: e_1_2_9_32_1 doi: 10.1007/s10409-015-0525-3 – ident: e_1_2_9_34_1 doi: 10.1016/0960-0779(95)00065-8 – volume: 147 issue: 11 year: 2021 ident: e_1_2_9_49_1 article-title: Interval analysis of interior acoustic field with element‐by‐element‐based interval finite‐element method publication-title: J Eng Mech doi: 10.1061/(ASCE)EM.1943-7889.0001962 – ident: e_1_2_9_48_1 doi: 10.1016/j.advengsoft.2018.11.001 – ident: e_1_2_9_18_1 doi: 10.1016/j.isatra.2022.10.033 – ident: e_1_2_9_40_1 doi: 10.1016/j.compstruc.2009.02.009 – ident: e_1_2_9_24_1 doi: 10.1016/j.apm.2018.02.022 – ident: e_1_2_9_4_1 doi: 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| SubjectTerms | Accuracy Algorithms Approximation dimension‐reduction Finite element analysis Finite element method Interval arithmetic interval finite element Lower bounds Neumann series Parameter uncertainty Perturbation Reduction static response Stiffness matrix Taylor expansion Taylor series uncertainty analysis |
| Title | A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures |
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