木质夹层梁横向承载挠度的预测与验证

doi:10.11707/j.1001-7488.20140718

林业科学 ›› 2014, Vol. 50 ›› Issue (7): 128-137.doi: 10.11707/j.1001-7488.20140718

木质夹层梁横向承载挠度的预测与验证

郝景新, 吴新凤, 刘文金

中南林业科技大学家具与艺术设计学院长沙 410004

收稿日期:2013-07-19 修回日期:2013-12-20 出版日期:2014-07-25 发布日期:2014-07-04
基金资助:
湖南省教育厅优秀青年项目“蜂窝夹层木质复合梁弯曲特性研究”（13B151）；湖南省研究生科研创新项目“家具用环保型竹碎料夹层复合板的力学性能研究”（CX2012B315）。

Modeling and Verification of Sandwich Beam with Wooden Skin and Honey-Comb Core Subjected to Transverse Loading

Hao Jingxin, Wu Xinfeng, Liu Wenjin

School of Furniture and Art Design, Central South University of Forestry and Technology Changsha 410004

Received:2013-07-19 Revised:2013-12-20 Online:2014-07-25 Published:2014-07-04
Contact: 吴新凤

摘要/Abstract

摘要：

修正基于Reissner假设的传统一阶剪切理论，将加载点处的压痕变形融入到模型中，推导出夹层梁横向承载跨中挠度的计算公式，并通过试验进行验证。结果表明：通过解析横截面切应力分布规律，推导出表板承受的剪力近似等效于同厚度芯层承受剪力的一半。修正一阶剪切理论计算夹层梁跨中挠度的精度整体好于传统一阶剪切理论。在同样的受力条件下，“∥”方向试件跨中挠度均大于“⊥”方向试件，主要表现在“∥”方向试件的剪切变形大于“⊥”方向试件。随着芯层厚度的增加，夹层梁弯曲挠度、剪切挠度逐渐减小，但剪切挠度占总挠度比重越来越大。修正一阶剪切理论计算的剪切挠度与横截面芯层切应力均小于传统一阶剪切理论，而随着芯层厚度的增加，2种理论的计算结果趋于一致。

关键词: 木质复合材, 夹层梁, Reissner理论, 一阶剪切, 弯曲性能

Abstract:

The equation to calculate transverse displacement in mid span of sandwich beam was derived by revision of Reissner theory and considering indentation deformation of central loading. It was shown that the resistance to the shear force of skin was equivalent to the half thickness of honey-comb core. By comparison with test results, Revised first-order theory(RFOT)had higher accuracy than classical first-order theory(CFOT)in general to calculate the transverse displacement of sandwich beam. Furthermore, the transverse displacement of "∥" direction specimens were bigger than "⊥" direction ones because of shear deformation. It was also indicated the transverse displacement including bending and shear deformation were all decreased gradually with increasing core thickness, but the proportion of shear displacement to the total became larger step by step. In addition, shear displacement and cross-sectional stress calculated by RFOT was less than CFOT, but the two theories tended to be identical with increasing core thickness.

Key words: wooden composite, sandwich beam, Reissner theory, first order, bending property

中图分类号:

S781.2

郝景新, 吴新凤, 刘文金. 木质夹层梁横向承载挠度的预测与验证[J]. 林业科学, 2014, 50(7): 128-137.

Hao Jingxin, Wu Xinfeng, Liu Wenjin. Modeling and Verification of Sandwich Beam with Wooden Skin and Honey-Comb Core Subjected to Transverse Loading[J]. Scientia Silvae Sinicae, 2014, 50(7): 128-137.

参考文献

郝景新,刘文金,吴新凤. 2012.基于纸质蜂窝的家具板件结构与工艺技术. 包装工程, 33(22):29-32.
(Hao J X, Liu W J, Wu X F. 2012. One furniture board structure and process technique based on paper honey-comb core. Packaging Engineering, 33(22):29-32. [in Chinese] )
郝景新,吴新凤,刘文金. 2013. 考虑剪切变形的蜂窝夹层木质复合梁弯曲特性. 木材加工机械, 24(4): 29-33.
(Hao J X, Wu X F, Liu W J. 2013. Bending performance of sandwich beam with wooden top and paper of honey-comb core. Wood Processing Machinery, 24(4): 29-33. [in Chinese] )
Averill R C, Yip Y C. 2006. Development of simple, robust finite elements based on refined theories for thick laminated beams. Computers and Structures, 59(3):529-546.
Averill R C. 1994. Static and dynamic response of moderately thick laminated beams with damage. Computers and Structures, 4(4):381-395.
Carlsson L A, Kardomateas G A. 2011. Structural and failure mechanics of sandwich composites. New York: Springer Science and Business Media B V.
Di Sciuva M. 1983. A refinement of the transverse shear deformation theory for multilayered orthotropic plates. Proceedings of 7th AIDAA National Congress.
Di Sciuva M. 1985. Development of an anisotropic, multilayered, shear-deformable rectangular plate element. Computers and structures, 21(4):789-796.
Di Sciuva M. 1986. Bending, vibration and buckling of simply supported thick multilayered orthotropic plate: an evaluation of a new displacement model. Journal of Sound and Vibration, 105(3):425-442.
Di Sciuva M. 1987. An improved shear-deformation theory for moderately thick multilayered anisotropic shells and plates. ASME Journal of Applied Mechanics, 54(3):589-596.
Di Sciuva M. 1992.Multilayered anisotropic plate models with continuous interlaminar stresses. Composite Structures, 22(3):149-168.
Hoff N J. 1950. Bending and buckling of rectangular sandwich plates.NACA TN 2225.
Kant T. 1989. Higher-order shear deformable theories for flexure of sandwich plate-finite element evaluations. Computers & Structures, 32(5):1125-1132.
Li X, Liu D. 1995. Zigzag theory for composite laminates. AIAA, 33(6):1163-1165.
Liu D, Li X. 1996. An overall view of laminate theories based on displacement hypothesis. Compos Mater, 30(14):1539-1561.
Lo K H, Christensen R M, Wu E M. 1977. A higher order theory of plate deformation, Part 2.Laminated plate. Appl Mech Trans, 44(4):669-676.
Madabhusi-Raman P, Davalos J F. 1996. Static shear correction factors for laminated rectangular beams.Composites Part B:Engineering, 27(3/4): 285-293.
Manjunatha B S, Kant T. 1992. A comparison of 9 and 16 node quadrilateral elements based on higher order laminate theories for estimation of transverse stresses. Reinf Plast Compos, 11(9):986-1002.
Murakami H. 1986. Laminated composite plate theory with improved in-plane response. Appl Mech, 53(3):661-666.
Okumus F. 2004. An analysis of shear correction factors in a thermoplastic composite cantilever beam.Iranian Journal of Science and Technology, 28(B4):501-504.
Reddy J N. 1984. A simple higher-order theory for laminated composite plate. Appl Mech Trans, 51(4):745-752.
Reissner E. 1948. Finite deflections of sandwich plates. JAS, 15(7):435-440.
Robbins D H, Reddy J N. 1993. Modeling of thick composites using a layerwise laminate theory.Int J Numer Methods Eng, 36(4):655-677.
Srinivas S. 1973. A refined analysis of composite laminates. Sound Vibr, 30(4):495-507.
Tessler A, Di Sciuva M, Gherlone M. 2009. A refined zigzag beam theory for composite and sandwich beams. J Compos Mater, 43(9):1051-1081.
Tessler A, Di Sciuva M, Gherlone M. 2010. A consistent refinement of firstorder shear-deformation theory for laminated composite and sandwich plates using improved zigzag kinematics. J Mech Mater Struct, 5(2):341-367.
Tessler A, Di Sciuva M, Gherlone M. 2011. Refined zigzag theory for homogeneous, laminated composite, and sandwich plates: a homogeneous-limit methodology for zigzag function selection. Numer Methods Partial Differential Equations, 27(1):208-229.
Toledano A, Murakami H. 1987. A composite plate theory for arbitrary laminate configuration. Appl Mech, 54(1):181-189.

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木质夹层梁横向承载挠度的预测与验证

Modeling and Verification of Sandwich Beam with Wooden Skin and Honey-Comb Core Subjected to Transverse Loading

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