Stability of non-prismatic frames with flexible connections and elastic supports
详细信息    查看全文
  • 作者:M. Rezaiee-Pajand ; F. Shahabian ; M. Bambaeechee
  • 关键词:non ; prismatic frames ; tapered columns ; taper ratio ; elastic supports ; flexible connections ; critical buckling load ; effective length factor
  • 刊名:KSCE Journal of Civil Engineering
  • 出版年:2016
  • 出版时间:March 2016
  • 年:2016
  • 卷:20
  • 期:2
  • 页码:832-846
  • 全文大小:1,160 KB
  • 参考文献:Al-Damluji, O. A.-F. and Yossif, W. V. (2005). “Elastic stability of frame having concave tapered structs.” Journal of Engineering, Vol. 11, No. 1, pp. 149–164.
    Al-Sadder, S. Z. (2004). “Exact expressions for stability functions of a general non-prismatic beam-column member.”). Journal of Constructional Steel Research, Vol. 60, No. 11, pp. 1561–1584, DOI: 10.1016/j.jcsr. 2004.03.004.CrossRef
    Al-Sadder, S. Z. and Qasravi, H. Y. (2004). “Exact secant stiffness matrix for non-prismatic beam-columns with elastic semi-rigid joint connections.”). Emirates Journal for Engineering Research, Vol. 9, No. 2, pp. 127–135.
    Al-Sarraf, S. Z. (1979). “Elastic instability of frames with uniformly tapered members.”). Structural Engineer, Vol. 57, No. 13, pp. 18–24.
    Arbabi, F. and Li, F. (1991). “Buckling of variable cross-section columns: integral-equation approach.”). Journal of Structural Engineering, Vol. 117, No. 8, pp. 2426–2441, DOI: 10.1061/(ASCE)0733-9445(1991) 117:8(2426).CrossRef
    Avraam, T. P. and Fasoulakis, Z. C. (2013). “Nonlinear postbucklinganalysis of frames with varying cross-section columns.”). Engineering Structures, Vol. 56, pp. 1–7, DOI: 10.1016/j.engstruct.2013.04.010.CrossRef
    Bairstow, L. and Stedman, E. W. (1914). “Critical loads of long struts of varying sections.”). Engineering, Vol. 98, p. 403.
    Banerjee, J. R. (1987). “Compact computation of buckling loads for plane frames consisting of tapered members.” Advances in Engineering Software, Vol. 9, No. 3, pp. 162–170, DOI: 10.1016/0141-1195(87) 90006-4.CrossRef MATH
    Bazant, Z. P. and Cedolin, L. (2003). Stability of Structures: Elastic, Inelastic, Fracture, and Damage Theories. Courier Dover Publications.
    Bazeos, N. and Karabalis, D. L. (2006). “Efficient computation of buckling loads for plane steel frames with tapered members.”). Engineering Structures, Vol. 28, No. 5, pp. 771–775, DOI: 10.1016/j.engstruct. 2005.10.004.CrossRef
    Bleich, F. (1952). Buckling strength of metal structures (1st ed.), McGraw Hill Text.
    Bulut, G. (2013). “Effect of taper ratio on parametric stability of a rotating tapered beam.”). European Journal of Mechanics- A/Solids, Vol. 37, pp. 344–350, DOI: 10.1016/j.euromechsol.2012.08.007.CrossRef MathSciNet
    Chajes, A. (1993). Principles of structural stability theory, Waveland Pr Inc.
    Chan, S. L. (1990). “Buckling analysis of structures composed of tapered members.”). Journal of Structural Engineering, Vol. 116, No. 7, pp. 1893–1906, DOI: 10.1061/(ASCE)0733-9445(1990)116:7(1893).CrossRef
    Chen, W. F. and Atsuta, T. (2007). Theory of Beam-Columns, Volume 1: In-Plane Behavior and Design. J. Ross Publishing.
    Chen, W. F. and Lui, E. M. (1991). Stability Design of Steel Frames (1st ed.), CRC Press.
    Coşkun, S. B. and Atay, M. T. (2009). “Determination of critical buckling load for elastic columns of constant and variable cross-sections using variational iteration method.”). Computers and Mathematics with Applications, Vol. 58, No. 11–12, pp. 2260–2266, DOI: 10.1016/j.camwa.2009.03.072.MathSciNet MATH
    Darbandi, S. M., Firouz-Abadi, R. D., and Haddadpour, H. (2010). “Buckling of variable section columns under axial loading.”). Journal of Engineering Mechanics, Vol. 136, No. 4, pp. 472–476, DOI: 10.1061/(ASCE)EM.1943-7889.0000096.CrossRef
    Dinnik, A. N. (1929). “Design of columns of varying cross-sections.”). Transactions, ASME, Vol. 51, pp. 165–171.
    Dinnik, A. N. (1932). “Design of columns of varying cross-sections.”). Transactions, ASME, Vol. 54, pp. 105–109.
    Duan, W. H. and Wang, C. M. (2008). “Exact solution for buckling of columns including self-weight.”). Journal of Engineering Mechanics, Vol. 134, No. 1, pp. 116–119, DOI: 10.1061/(ASCE)0733-9399(2008) 134:1(116).CrossRef
    Eisenberger, M. and Reich, Y. (1989). “Static, vibration and stability analysis of non-uniform beams.”). Computers and Structures, Vol. 31, No. 4, pp. 567–573, DOI: 10.1016/0045-7949(89)90333-7.CrossRef
    Elishakoff, I. and Rollot, O. (1999). “New closed-form solutions for buckling of a variable stiffness column by MATHEMATICA®.”). Journal of Sound Vibration, Vol. 224, pp. 172–182, DOI: 10.1006/ jsvi.1998.2143.CrossRef MathSciNet MATH
    Ermopoulos, J. C. (1986). “Buckling of tapered bars under stepped axial loads.”). Journal of Structural Engineering, Vol. 112, No. 6, pp. 1346–1354, DOI: 10.1061/(ASCE)0733-9445(1986)112:6(1346).CrossRef
    Ermopoulos, J. C. (1988). “Slope-deflection method and bending of tapered bars under stepped loads.”). Journal of Constructional Steel Research, Vol. 11, No. 2, pp. 121–141, DOI: 10.1016/0143-974X (88)90047-8.CrossRef
    Ermopoulos, J. C. (1991). “Buckling length of framed compression members with semirigid connections.”). Journal of Constructional Steel Research, Vol. 18, No. 2, pp. 139–154, DOI: 10.1016/0143- 974X(91)90069-D.CrossRef
    Ermopoulos, J. C. (1997). “Equivalent buckling length of non-uniform members.”). Journal of Constructional Steel Research, Vol. 42, No. 2, pp. 141–158, DOI: 10.1016/S0143-974X(97)00010-2.CrossRef
    Ermopoulos, J. C. (1999). “Buckling length of non-uniform members under stepped axial loads.”). Computers and Structures, Vol. 73, No. 6, pp. 573–582, DOI: 10.1016/S0045-7949(98)00314-9.CrossRef MATH
    Ermopoulos, J. C., Ioannidis, S. S., and Kounadis, A. N. (1991). “Stability of battened columns with and without taper.”). Engineering Structures, Vol. 13, No. 3, pp. 237–241, DOI: 10.1016/0141-0296(91)90035-B.CrossRef
    Ermopoulos, J. C. and Kounadis, A. N. (1985). “Stability of frames with tapered built-up members.”). Journal of Structural Engineering, Vol. 111, No. 9, pp. 1979–1992, DOI: 10.1061/(ASCE)0733-9445(1985)111: 9(1979).CrossRef
    Euler, L. (1778). Die altitudine colomnarum sub proprio pondere corruentium, Acta Academiae Scientiarum Imperialis Petropolitan (in Latin).
    Fraser, D. J. (1983). “Design of tapered member portal frames.”). Journal of Constructional Steel Research, Vol. 3, No. 3, pp. 20–26, DOI: 10.1016/0143-974X(83)90003-2.CrossRef
    Galambos, T. V. (Ed.). (1998). Guide to stability design criteria for metal structures (5th ed.), Wiley.
    Gere, J. M. and Carter, W. O. (1962). “Critical buckling loads for tapered columns.”). Journal of the Structural Division, Vol. 88, No. 1, pp. 1–12.
    Huang, Y. and Li, X.-F. (2010). “A new approach for free vibration of axially functionally graded beams with non-uniform cross-section.”). Journal of Sound and Vibration, Vol. 329, No. 11, pp. 2291–2303, DOI: 10.1016/j.jsv.2009.12.029.CrossRef
    Huang, Y. and Li, X.-F. (2011). “Buckling analysis of nonuniform and axially graded columns with varying flexural rigidity.”). Journal of Engineering Mechanics, Vol. 137, No. 1, pp. 73–81, DOI: 10.1061/ (ASCE)EM.1943-7889.0000206.CrossRef
    Huang, Y. and Li, X.-F. (2012). “An analytic approach for exactly determining critical loads of buckling of nonuniform columns.”). International Journal of Structural Stability and Dynamics, Vol. 12, No. 4, pp. 1250027, DOI: 10.1142/S0219455412500277.CrossRef MathSciNet
    Iremonger, M. J. (1980). “Finite difference buckling analysis of nonuniform columns.”). Computers and Structures, Vol. 12, No. 5, pp. 741–748, DOI: 10.1016/0045-7949(80)90176-5.CrossRef MathSciNet MATH
    Karabalis, D. L. and Beskos, D. E. (1983). “Static, dynamic and stability analysis of structures composed of tapered beams.”). Computers and Structures, Vol. 16, No. 6, pp. 731–748, DOI: 10.1016/0045-7949 (83)90064-0.CrossRef MATH
    Konstantakopoulos, T. G., Raftoyiannis, I. G., and Michaltsos, G. T. (2012). “Stability of steel columns with non-uniform cross-sections.”). The Open Construction and Building Technology Journal, Vol. 6, pp. 1–7, DOI: 10.2174/1874836801206010001.CrossRef
    Kounadis, A. N. and Ermopoulos, J. C. (1984). “Postbuckling analysis of a simple frame with varying stiffness.”). Acta Mechanica, Vol. 54, No. 1, pp. 95–105, DOI: 10.1007/BF01190599.CrossRef
    Lee, B. K., Carr, A. J., Lee, T. E., and Kim, I. J. (2006). “Buckling loads of columns with constant volume.”). Journal of Sound and Vibration, Vol. 294, Nos. 1–2, pp. 381–387, DOI: 10.1016/j.jsv.2005.11.004.CrossRef
    Lee, G. C. and Morrell, M. L. (1975). “Application of AISC design provisions for tapered members.”). Engineering Journal, Vol. 12, pp. 1–13.
    Li, G. Q. and Li, J. J. (2000). “Effects of shear deformation on theeffictive lentgh of tappered colums with I-section for steel portal frames.”). Structural Engineering and Mechanics, Vol. 20, pp. 479–489, DOI: 10.12989/sem.2000.10.5.479.CrossRef
    Li, G. Q. and Li, J. J. (2004). “Buckling analysis of tapered lattice columns using a generalzed finite element.” Communications in Numerical Methods in Engineering, Vol. 20, No. 5, pp. 479–488, DOI: 10.1002/ cnm.684.CrossRef
    Li, Q. S. (2000). “Buckling of elastically restrained non-uniform columns.”). Engineering Structures, Vol. 22, No. 10, pp. 1231–1243, DOI: 10.1016/S0141-0296(99)00079-6.CrossRef
    Li, Q. S. (2001a). “Analytical solutions for buckling of multi-step nonuniform columns with arbitrary distribution of flexural stiffness or axial distributed loading.”). International Journal of Mechanical Sciences, Vol. 43, No. 2, pp. 349–366, DOI: 10.1016/S0020- 7403(00)00017-5.CrossRef MATH
    Li, Q. S. (2001b). “Exact solutions for buckling of non-uniform columns under axial concentrated and distributed loading.”). European Journal of Mechanics- A/Solids, Vol. 20, No. 3, pp. 485–500, DOI: 10.1016/ S0997-7538(01)01143-3.CrossRef
    Li, Q. S. (2003). “Buckling analysis of non-uniform bars with rotational and translational springs.”). Engineering Structures, Vol. 25, No. 10, pp. 1289–1299, DOI: 10.1016/S0141-0296(03)00079-8.CrossRef
    Li, Q. S. (2009). “Exact solutions for the generalized euler’s problem.”). Journal of Applied Mechanics, Vol. 76, No. 4, pp. 041015, DOI: 10.1115/1.2937151.CrossRef
    Li, Q. S., Cao, H. and Li, G. Q. (1995). “Stability analysis of bars with varying cross-section.”). International Journal of Solids and Structures, Vol. 32, No. 21, pp. 3217–3228, DOI: 10.1016/0020-7683(94)00272- X.CrossRef MATH
    Li, Q. S., Cao, H., and Li, G. Q. (1996). “Static and dynamic analysis of straight bars with variable cross-section.”). Computers and Structures, Vol. 59, No. 6, pp. 1185–1191, DOI: 10.1016/0045-7949(95)00333-9.CrossRef MATH
    Marques, L., Taras, A., Simões da Silva, L., Greiner, R., and Rebelo, C. (2012). “Development of a consistent buckling design procedure for tapered columns.”). Journal of Constructional Steel Research, Vol. 72, pp. 61–74, DOI: 10.1016/j.jcsr.2011.10.008.CrossRef
    Meng, L. X., Lu, N. L., and Liu, S. M. (2011). “Exact expression of element stiffness matrix for a tapered beam and its application in stability analysis.”). Advanced Materials Research, Vol. 255–260, 1968-1973, DOI:10.4028/www.scientific.net/AMR.255-260.1968.
    Morley, A. (1917). “Critical loads for long tapering struts.” Engineering, Vol. 104, p. 295–298.
    O’Rourke, M. and Zebrowski, T. (1977). “Buckling load for nonuniform columns.” Computers and Structures, Vol. 7, No. 6, pp. 717–720, DOI: 10.1016/0045-7949(77)90025-6.CrossRef MATH
    Ozay, G. and Topcu, A. (2000). “Analysis of frames with non-prismatic members.”). Canadian Journal of Civil Engineering, Vol. 27, No. 1, pp. 17–25, DOI: 10.1139/l99-037.CrossRef
    Pinarbasi, S., Okay, F., Akpinar, E., and Erdogan, H. (2013). “Stability analysis of two-segment stepped columns with different end conditions and internal axial loads.”). Mathematical Problems in Engineering, Vol. 2013, p. 858906, DOI: 10.1155/2013/858906.CrossRef MathSciNet
    Qiusheng, L., Hong, C., and Guiqing, L. (1995). “Stability analysis of bars with varying cross-section.” International Journal of Solids and Structures, Vol. 32, No. 21, pp. 3217–3228, DOI: 10.1016/0020- 7683(94)00272-X.CrossRef MATH
    Raftoyiannis, I. G. (2005). “The effect of semi-rigid joints and an elastic bracing system on the buckling load of simple rectangular steel frames.”). Journal of Constructional Steel Research, Vol. 61, No. 9, pp. 1205–1225, DOI: 10.1016/j.jcsr.2005.01.005.CrossRef
    Raftoyiannis, I. G. and Ermopoulos, J. C. (2005). “Stability of tapered and stepped steel columns with initial imperfections.”). Engineering Structures, Vol. 27, No. 8, pp. 1248–1257, DOI: 10.1016/j.engstruct. 2005.03.009.CrossRef
    Rahai, A. R. and Kazemi, S. (2008). “Buckling analysis of non-prismatic columns based on modified vibration modes.”). Communications in Nonlinear Science and Numerical Simulation, Vol. 13, No. 8, pp. 1721–1735, DOI: 10.1016/j.cnsns.2006.09.009.CrossRef MATH
    Rezaiee-Pajand, M. and Moayedian, M. (2000). “Explicit stiffness of tapered and monosymmetric I beam-columns.”). International Journal of Engineering, Vol. 13, No. 2, pp. 1–18.
    Saffari, H., Rahgozar, R., and Jahanshahi, R. (2008). “An efficient method for computation of effective length factor of columns in a steel gabled frame with tapered members.”). Journal of Constructional Steel Research, Vol. 64, No. 4, pp. 400–406, DOI: 10.1016/j.jcsr. 2007.09.001.CrossRef
    Serna, M. A., Ibáñez, J. R., and López, A. (2011). “Elastic flexural buckling of non-uniform members: Closed-form expression and equivalent load approach.”). Journal of Constructional Steel Research, Vol. 67, No. 7, pp. 1078–1085, DOI: 10.1016/j.jcsr.2011.01.003.CrossRef
    Shooshtari, A. and Khajavi, R. (2010). “An efficient procedure to find shape functions and stiffness aatrices of nonprismatic euler-bernoulli and timoshenko beam elements.”). European Journal of Mechanics A-Solids, Vol. 29, No. 5, DOI: 10.1016/j.euromechsol.2010.04.003.
    Siginer, A. (1992). “Buckling of columns of variable flexural rigidity.” Journal of Engineering Mechanics, Vol. 118, No. 3, pp. 640–643, DOI: 10.1061/(ASCE)0733-9399(1992)118:3(640).CrossRef
    Smith, W. G. (1988). “Analytic solutions for tapered column buckling.”). Computers and Structures, Vol. 28, No. 5, pp. 677–681, DOI: 10.1016/0045-7949(88)90011-9.CrossRef MATH
    Taha, M. and Essam, M. (2013). “Stability behavior and free vibration of tapered columns with elastic end restraints using the DQM method.”). Ain Shams Engineering Journal, Vol. 4, No. 3, pp. 515–521, DOI: 10.1016/j.asej.2012.10.005.CrossRef
    Timoshenko, S. P. (1908). Buckling of bars of variable cross section, Bulletin of the Polytechnic Institute, Kiev, Ukraine.
    Timoshenko, S. P. and Gere, J. M. (2009). Theory of elastic stability, Dover Publications.
    Valipour, H. R. and Bradford, M. A. (2012). “A new shape function for tapered three-dimensional beams with flexible connections.”). Journal of Constructional Steel Research, Vol. 70, pp. 43–50, DOI: 10.1016/ j.jcsr.2011.10.006.CrossRef
    Wang, C. K. (1967). “Stability of rigid frames with nonuniform members.”). Journal of the Structural Division, Vol. 93, No. 1, pp. 275–294.
    Wang, C. M. and Wang, C. Y. (2004). Exact Solutions for Buckling of Structural Members (1st ed.), CRC Press.CrossRef
    Wei, D. J., Yan, S. X., Zhang, Z. P., and Li, X. F. (2010). “Critical load for buckling of non-prismatic columns under self-weight and tip force.”). Mechanics Research Communications, Vol. 37, No. 6, pp. 554–558, DOI:10.1016/j.mechrescom.2010.07.024.CrossRef MATH
    Williams, F. W. and Aston, G. (1989). “Exact or lower bound tapered column buckling loads.”). Journal of Structural Engineering, Vol. 115, No. 5, pp. 1088–1100, DOI: 10.1061/(ASCE)0733-9445(1989) 115: 5(1088).CrossRef
  • 作者单位:M. Rezaiee-Pajand (1)
    F. Shahabian (1)
    M. Bambaeechee (1)

    1. Dept. of Civil Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran
  • 刊物类别:Engineering
  • 刊物主题:Civil Engineering
    Industrial Pollution Prevention
    Automotive and Aerospace Engineering and Traffic
    Geotechnical Engineering
  • 出版者:Korean Society of Civil Engineers
  • ISSN:1976-3808
文摘
An accurate formulation is obtained to determine critical load, and corresponding equivalent effective length factor of a simple frame. The presented methodology is based on the exact solutions of the governing differential equations for buckling of a frame with tapered and/or prismatic columns. Accordingly, the influences of taper ratio, shape factor, flexibility of connections, and elastic supports on the critical load, and corresponding equivalent efficient length factor of the frame will be investigated. The authors' findings can be easily applied to the stability design of general non-prismatic frames. Moreover, comparing the results with the accessible outcomes demonstrate the accuracy, efficiency and capabilities of the proposed formulation. Keywords non-prismatic frames tapered columns taper ratio elastic supports flexible connections critical buckling load effective length factor

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700