An equivalent stiffness (ES) method for initial design of tube-based energy absorbers under lateral quasi-static compression
A tube is often applied as an energy absorber in structures subject to impact loads. However, when several tubes are combined to absorb energy, how to arrange these tubes and match their dimensions has not been investigated. We provide a novel equivalent stiffness (ES) method for the initial design...
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| Published in | Journal of mechanical science and technology Vol. 29; no. 2; pp. 637 - 646 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Seoul
Korean Society of Mechanical Engineers
01.02.2015
Springer Nature B.V 대한기계학회 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1738-494X 1976-3824 |
| DOI | 10.1007/s12206-015-0123-0 |
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| Abstract | A tube is often applied as an energy absorber in structures subject to impact loads. However, when several tubes are combined to absorb energy, how to arrange these tubes and match their dimensions has not been investigated. We provide a novel equivalent stiffness (ES) method for the initial design of tube-based energy absorbers, in which each tube is expressed by an equivalent spring with average post-buckling stiffness, and these springs are connected in series or parallel or hybrid. The plastic deformation and strain energy are distributed among them according to their relative ES value. The relationship between plastic energy and post-buckling stiffness is derived analytically and verified numerically. Finally, an application example is provided and the optimal tube arrangement and dimensions are obtained by combining the proposed ES method with an optimization code. The results demonstrate that this method can provide an initial design of tube-based energy absorbers efficiently. |
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| AbstractList | A tube is often applied as an energy absorber in structures subject to impact loads. However, when several tubes are combined to absorb energy, how to arrange these tubes and match their dimensions has not been investigated. We provide a novel equivalent stiffness (ES) method for the initial design of tube-based energy absorbers, in which each tube is expressed by an equivalent spring with average post-buckling stiffness, and these springs are connected in series or parallel or hybrid. The plastic deformation and strain energy are distributed among them according to their relative ES value. The relationship between plastic energy and post-buckling stiffness is derived analytically and verified numerically. Finally, an application example is provided and the optimal tube arrangement and dimensions are obtained by combining the proposed ES method with an optimization code. The results demonstrate that this method can provide an initial design of tube-based energy absorbers efficiently. A tube is often applied as an energy absorber in structures subject to impact loads. However, when several tubes are combined to absorbenergy, how to arrange these tubes and match their dimensions has not been investigated. We provide a novel equivalent stiffness(ES) method for the initial design of tube-based energy absorbers, in which each tube is expressed by an equivalent spring with averagepost-buckling stiffness, and these springs are connected in series or parallel or hybrid. The plastic deformation and strain energy are distributedamong them according to their relative ES value. The relationship between plastic energy and post-buckling stiffness is derivedanalytically and verified numerically. Finally, an application example is provided and the optimal tube arrangement and dimensions areobtained by combining the proposed ES method with an optimization code. The results demonstrate that this method can provide aninitial design of tube-based energy absorbers efficiently. KCI Citation Count: 1 |
| Author | Leng, Dingxin Wang, Dengfeng Sun, Juanjuan Lin, Yi Sun, Lingyu |
| Author_xml | – sequence: 1 givenname: Lingyu surname: Sun fullname: Sun, Lingyu email: lysun@buaa.edu.cn organization: State Key Laboratory of Automotive Simulaion and Control, School of Transportation Science and Engineering, Beihang Universty – sequence: 2 givenname: Dingxin surname: Leng fullname: Leng, Dingxin organization: School of Transportation Science and Engineering, Beihang Universty – sequence: 3 givenname: Juanjuan surname: Sun fullname: Sun, Juanjuan organization: School of Transportation Science and Engineering, Beihang Universty – sequence: 4 givenname: Yi surname: Lin fullname: Lin, Yi organization: School of Transportation Science and Engineering, Beihang Universty – sequence: 5 givenname: Dengfeng surname: Wang fullname: Wang, Dengfeng organization: State Key Laboratory of Automotive Simulaion and Control |
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| Cites_doi | 10.1016/j.ijimpeng.2009.01.008 10.1007/s12206-012-0232-y 10.1016/S0020-7403(01)00031-5 10.1007/s12206-010-0702-z 10.1016/j.ijimpeng.2006.11.007 10.1115/1.3629622 10.1016/j.tws.2004.12.002 10.1115/1.3636567 10.1016/j.ijmecsci.2007.04.005 |
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| Keywords | Finite element method (FEM) Nested tubes Plastic deformation Energy absorption Optimization Equivalent stiffness |
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| References | DeRuntz, Hodge (CR2) 1963; 30 Redwood (CR11) 1964; 31 Morris, Olabi, Hashmi (CR4) 2005; 59 Magee, Thornton (CR13) 1978 Olabi, Morris, Hashmi, Gilchrist (CR6) 2008; 35 Jones (CR14) 2010; 37 Guillow, Lu, Grzebieta (CR1) 2001; 43 Morris, Olabi, Hashmi (CR3) 2004 Jones, Wierzbicki (CR10) 1983 Gupta, Sekhon, Gupta (CR5) 2005; 43 Lim (CR9) 2010; 24 Kim (CR8) 2012; 26 Chen (CR15) 2008; 34 Sun (CR12) 2011 Olabi (CR7) 2008; 50 R. G. Redwood (123_CR11) 1964; 31 E. Morris (123_CR3) 2004 A. G. Olabi (123_CR7) 2008; 50 H. S. Lim (123_CR9) 2010; 24 N. K. Gupta (123_CR5) 2005; 43 B. Y. Kim (123_CR8) 2012; 26 C. L. Magee (123_CR13) 1978 N. Jones (123_CR14) 2010; 37 W. W. Chen (123_CR15) 2008; 34 N. Jones (123_CR10) 1983 E. Morris (123_CR4) 2005; 59 A. G. Olabi (123_CR6) 2008; 35 J. A. DeRuntz (123_CR2) 1963; 30 S. R. Guillow (123_CR1) 2001; 43 L. Y. Sun (123_CR12) 2011 |
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Mechanical Science and Technology doi: 10.1007/s12206-010-0702-z – year: 2011 ident: CR12 article-title: Dynamic response of underwater structures subject to impact loads publication-title: , Denver, Colorado, USA – volume: 35 start-page: 10 issue: 1 year: 2008 end-page: 26 ident: CR6 article-title: Optimized design of nested oblong tube energy absorbers under lateral impact loading publication-title: International J. of Impact Engineering doi: 10.1016/j.ijimpeng.2006.11.007 – volume: 31 start-page: 357 issue: 2 year: 1964 end-page: 358 ident: CR11 article-title: Discussion of “crushing of a tube between rigid plates” publication-title: J. of Applied Mechanics doi: 10.1115/1.3629622 – volume: 43 start-page: 895 issue: 6 year: 2005 end-page: 922 ident: CR5 article-title: Study of lateral compression of round metallic tubes publication-title: Thin-Walled Structures doi: 10.1016/j.tws.2004.12.002 – volume: 30 start-page: 391 issue: 3 year: 1963 end-page: 395 ident: CR2 article-title: 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| Snippet | A tube is often applied as an energy absorber in structures subject to impact loads. However, when several tubes are combined to absorb energy, how to arrange... A tube is often applied as an energy absorber in structures subject to impact loads. However, when several tubes are combined to absorbenergy, how to arrange... |
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| SubjectTerms | Compressing Control Dynamical Systems Engineering Equivalence Impact loads Industrial and Production Engineering Mathematical models Mechanical Engineering Optimization Springs Stiffness Tubes Vibration 기계공학 |
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| Title | An equivalent stiffness (ES) method for initial design of tube-based energy absorbers under lateral quasi-static compression |
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