金属蜂窝板片结构体系的理论分析及应用研究
|
摘要
蜂窝夹层结构具有很高的比强度、比刚度、隔音、保温等优点,在航空航天结构领域应用广泛,但在土木结构中应用很少。主要原因在于两方面:首先,土木工程领域对蜂窝夹层结构的研究不多;其次,若按常规思路使用蜂窝夹层结构,其昂贵的价格也会限制它的使用。
然而,东南大学空间结构及形态研究所在板片空间结构体系多年研究的基础上认为金属蜂窝板应用到板片空间结构体系中将形成高效的金属蜂窝板片结构体系。为此,本文做了以下三方面的工作。
首先,总结了目前常见的金属蜂窝板的形式、成型工艺;在研究吸取正六边形蜂窝弹性参数经典理论的基础上利用能量方法、叠加原理推导了正三角形蜂窝的弹性参数,并使用有限元方法进行了验证;根据有关文献的研究结果提出了蜂窝板的设计构造建议,并提出了蜂窝板片的连接构造方式。
其次,本文根据金属蜂窝板的特点,结合Reinssner理论提出更为合理的假设,并推导出控制微分方程,以及四边简支夹层板在均布荷载作用下的挠度公式。通过与Reinssner理论、Hoff理论以及有限元分析结果比较,验证了本文理论的正确性及其必要性。
最后,通过工程实例分析表明,在大跨度屋盖结构中,金属蜂窝板-杆空间结构体系比常规的四角锥网架结构具有用钢量低,结构整体自重轻等优点;在轻钢结构厂房中,采用金属蜂窝纯板片箱梁体系比一般H型钢结构用钢量更低,自重更轻,具有广泛的应用前景。
The honeycomb sandwich constructions are widely applied in aeronautic and aerospace structures due to their many advantages such as high strength to weight, high stiffness to weight, soundproof and heat preservation etc. But they are rarely applied in civil engineering constructions. The main reason lie in the both two sides: on one thing, they are rarely studied in the field of civil engineering; on the other, their expensive price also limit the usage if used as normal thoughts.
However, the scholars of RESEARCH INSTITUTE OF SPACE STRUCTUES& FORM OF SOUTHEAST UNIVERSITY launch it will form an efficient system of metals- honeycomb space structure if applying the metals-honeycomb panel to sheet spatial structure system on the foundations of their many years studying of sheet spatial structure system. For this, in this text, there are three aspects listed as following.
First, the writer tallies up the form and the mechanical property of current familiar metal honeycomb sandwich panels, the writer also goes deep into studying the classic theories of the flexibility parameter of positive six honeycombs, of which on the foundation the writer deduce the flexibility parameters of isosceles triangle honeycombs combining with energy method and principle of superposition, and still uses finite element method validating it, furthermore the writer put forward the conjunction form of the honeycomb plank slice.
Secondly, according to the characteristics of honeycomb plank combining with Reinssner Theory, the author puts forward to some more logical hypothesis, and educes dominative differential equation and deflection formula of the simple-supporting plank under uniformly distributed lateral load. Compared with Reinssner Theory, Hoff Theory and the results of finite element analysis, it shows the correction and necessity of this paper.
Finally, through the instance of engineering, we can see that the steel dosage in steel honeycomb plank is smaller and the self-weight of the whole structure is lighter comparing with pyramided grid structure, and the steel dosage in portal strut with honeycomb laminated beam-column system is still smaller and the self-weight is still smaller comparing with steel I-beam,they will have a wide applied foreground.
然而,东南大学空间结构及形态研究所在板片空间结构体系多年研究的基础上认为金属蜂窝板应用到板片空间结构体系中将形成高效的金属蜂窝板片结构体系。为此,本文做了以下三方面的工作。
首先,总结了目前常见的金属蜂窝板的形式、成型工艺;在研究吸取正六边形蜂窝弹性参数经典理论的基础上利用能量方法、叠加原理推导了正三角形蜂窝的弹性参数,并使用有限元方法进行了验证;根据有关文献的研究结果提出了蜂窝板的设计构造建议,并提出了蜂窝板片的连接构造方式。
其次,本文根据金属蜂窝板的特点,结合Reinssner理论提出更为合理的假设,并推导出控制微分方程,以及四边简支夹层板在均布荷载作用下的挠度公式。通过与Reinssner理论、Hoff理论以及有限元分析结果比较,验证了本文理论的正确性及其必要性。
最后,通过工程实例分析表明,在大跨度屋盖结构中,金属蜂窝板-杆空间结构体系比常规的四角锥网架结构具有用钢量低,结构整体自重轻等优点;在轻钢结构厂房中,采用金属蜂窝纯板片箱梁体系比一般H型钢结构用钢量更低,自重更轻,具有广泛的应用前景。
The honeycomb sandwich constructions are widely applied in aeronautic and aerospace structures due to their many advantages such as high strength to weight, high stiffness to weight, soundproof and heat preservation etc. But they are rarely applied in civil engineering constructions. The main reason lie in the both two sides: on one thing, they are rarely studied in the field of civil engineering; on the other, their expensive price also limit the usage if used as normal thoughts.
However, the scholars of RESEARCH INSTITUTE OF SPACE STRUCTUES& FORM OF SOUTHEAST UNIVERSITY launch it will form an efficient system of metals- honeycomb space structure if applying the metals-honeycomb panel to sheet spatial structure system on the foundations of their many years studying of sheet spatial structure system. For this, in this text, there are three aspects listed as following.
First, the writer tallies up the form and the mechanical property of current familiar metal honeycomb sandwich panels, the writer also goes deep into studying the classic theories of the flexibility parameter of positive six honeycombs, of which on the foundation the writer deduce the flexibility parameters of isosceles triangle honeycombs combining with energy method and principle of superposition, and still uses finite element method validating it, furthermore the writer put forward the conjunction form of the honeycomb plank slice.
Secondly, according to the characteristics of honeycomb plank combining with Reinssner Theory, the author puts forward to some more logical hypothesis, and educes dominative differential equation and deflection formula of the simple-supporting plank under uniformly distributed lateral load. Compared with Reinssner Theory, Hoff Theory and the results of finite element analysis, it shows the correction and necessity of this paper.
Finally, through the instance of engineering, we can see that the steel dosage in steel honeycomb plank is smaller and the self-weight of the whole structure is lighter comparing with pyramided grid structure, and the steel dosage in portal strut with honeycomb laminated beam-column system is still smaller and the self-weight is still smaller comparing with steel I-beam,they will have a wide applied foreground.
引文
【1-1】赵惠麟,韩重庆,尹凌峰等.板片空间结构体系的结构原理及其选型[J].工业建筑,2004,34(368)
【1-2】马克俭.空腹混凝土夹层板的应用研究[J].贵州工业大学学报,2002, 11
【1-3】孙旭峰.空间组合玻璃板片承载体系研究[D].[硕士学位论文].南京.东南大学,2003
【1-4】杨琦.板片空间结构体系非线性稳定的分析与研究.[D].[博士学位论文]. 南京.东南大学,1996
【1-5】易成,徐鹏,隋成飞等. 刚析架一钢纤维钢丝网混凝土轻型屋面板的试验研究[J].哈尔演建筑大学学报,1996,29(1)
【1-6】黄端芳.EPS钢塑复合板轻型结构的研究与应用[J].铁道建筑,2003, 9
【1-7】尹利君.超轻型GRC屋面板的研制[J].新型建筑材料[J],1999, 7
【1-8】刘南. 钢板岩棉夹芯复合板[J].建材科技,2002
【1-9】苑金生. 国外金属板屋面材料的发展及应用[J]. 建筑人造板,1998,3
【1-10】实用新型专利公报涉及建材的专利信息(五)[P].专利公报,2002
【2-1】吴鸿遥. 合成板、夹层板与整体板的强度计算原理[M],北京:国防工业出版社,1989
【2-2】张敏,于九明. 金属夹芯复合板及其制备技术的发展[J]. 工艺与新技术,2003,32(6)
【2-3】Lorna.J.Gibson Michael F.Ashby. Cellular solids:structure and properties [M] Cambridge, CB2 2RU, United Kingdom : Cambridge University Press ,1997. 81-151
【2-4】Hunt,H.E.M. The mechanical strength of ceramic honeycomb monoliths as determined by simple experiments [J]. Trans , Inst.Chem.Eng.1993,71A:257-266
【2-5】蔡四维. 复合材料结构力学.[M]. 北京:人民交通出版社,1987. 17-20
【2-6】陈铮, 周飞, 王国凡. 材料连接原理[M]. 黑龙江:哈尔滨工业大学出版社 1998. 141-143
【2-7】周雨 蜂窝夹层结构复合材料的性能研究[D]:[硕士学位论文]. 西安:西北工业大学,2003
【2-8】范秋习 蜂窝夹层复合材料[J]. 北京轻工业学院学报,1998,16(2)
【2-9】梁森,陈花玲,陈天宁,梁天锡等. 蜂窝夹芯结构面内等效弹性参数的分析研究[J]. 航空材料学报,2004,24(3)
【2-10】周祝林,高俞. 船用玻璃钢夹层结构的拉神性能[J]. 玻璃钢,1996,45(3)
【2-11】季铁正,蓝立文. 蜂窝夹芯板的结构与应用[J]. 新型建筑材料,1995,2
【2-12】张广平. 复合材料夹心板及应用[J]. 纤维复合材料,2002,2
【2-13】尹久仁,富明慧,张平. 一类网格结构模型的研究 力学学报 2002,34(2)
【2-14】于战果,郑炳良,王凤忠等. 军用厢式车夹层结构设计研究[J],2002,3
【2-15】X. Frank Xu ,Pizhong Qiao . Homogenized elastic properties of honeycomb sandwich with skin effect[J]. International Journal of Solids and Structures,2002,39
【2-16】An Chen,Julio F.Davalos. A solution including skin effect for stiffness and stress field of sandwich honeycomb core[J]. International Journal of Solids and Structures,2005,42
【3-1】中科院力学研究所.夹层板壳的弯曲、稳定和振动[M]. 北京:科学出版社,1977.
【3-2】吴鸿遥. 合成板、夹层板与整体板的强度计算原理[M].北京: 国防工业出版社,1989
【3-3】飞机设计手册[Z]. 北京:国防工业出版社,1981,
【3-4】刘仁怀,朱金福. 夹层壳非线性理论[M]. 北京:机械工业出版社,1993
【3-4】张向,许晶月. 复合材料夹芯板组合单元有限元分析[J]. 郑州大学学报(自然科学版),1995,27(1)
【3-5】成广民,丁锁柱. 复合材料蜂窝夹层结构计算的一般方法和进展[J]. 玻璃钢/复合材料,1996,2
【3-6】刘畅,钟善桐,苗若愚. 正交各向异性夹层板基本抗弯方程[J]. 哈尔滨建筑大学学报,1998,31(2)
【3-7】刘福江,曹文洲,王新华. 基于 Huff 夹层板理论的复合材料结构有限元分析[J]. 中国民航学院学报,1998,16(3)
【3-8】刘畅,郭靳时用差分法求解正交各向异性夹层板的弹性弯曲方程[J]. 吉林建筑工程学院学报,1999,1
【3-9】李向红. 变厚度夹层板的弯曲问题[J]. 江苏理工大学学报(自然科学版),1999,20(5)
【3-10】徐胜今,孔宪仁,王本利,马兴瑞等. 正交异性蜂窝夹层板动、静力学问题的等效分析方法[J]. 复合材料学报,2000,17(3)
【3-11】吴晖,俞焕然. 四边简支波形夹层板的振动和稳定[J]. 兰州大学学报(自然科学版),2002,38(4)
【3-12】Lok,Tat-Seng,Cheng, Qian-Hua. Elastic stiffness properties and behavior of truss-core sandwich panel [J]. Journal of Structural Engineering,2000,126(5)
【3-13】Pai, P. Frank. Higher-order sandwich plate theory accounting for 3-D stresses [J]. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference,2000,1(2)
【3-14】Frank Pai,P. A higher-order sandwich plate theory accounting for 3-D stresses [J]. International Journal of Solids and Structures,2001,38(30-31)
【3-15】Takeichi,Michifumi. Static strength properties of an aluminum alloy honeycomb sandwich panel and strength reliability evaluation of an actual car body structure[J]. American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP,2002,438
【4-1】赵才其,马军,赵惠麟. 单层工业厂房板片结构的选型研究及工程实践[J].工业建筑,2004,368(34)
【4-2】宋曼华,柴永日,武人岱.钢结构设计与计算[M].北京:机械工业出版社,2000
【4-3】钱明权.赵惠麟.赵才其. 板片空间结构体系[J]. 建筑知识,1994,1
【4-4】马军.赵惠麟.赵才其. 板片空间结构三心圆柱面网壳研究设计[J]. 江苏建筑,1996,3
【4-5】刘承宗.周志勇.赵惠麟. 板片空间结构动力特性与非线性地震反应分析[J].1999,29(10)
【4-6】王勋成.邵敏. 有限单元法基本原理和数值方法[M].北京:清华大学出版社,2000
【4-7】王秀丽. 徐菁. 方有珍. 空间梁元法在单层网壳设计中的应用[J]. 甘肃工业大学学报,2000,26(3)
【4-8】王秀丽. 徐菁. 方有珍. 空间梁元法在单层网壳设计中的应用[J]. 甘肃工业大学学
【1-2】马克俭.空腹混凝土夹层板的应用研究[J].贵州工业大学学报,2002, 11
【1-3】孙旭峰.空间组合玻璃板片承载体系研究[D].[硕士学位论文].南京.东南大学,2003
【1-4】杨琦.板片空间结构体系非线性稳定的分析与研究.[D].[博士学位论文]. 南京.东南大学,1996
【1-5】易成,徐鹏,隋成飞等. 刚析架一钢纤维钢丝网混凝土轻型屋面板的试验研究[J].哈尔演建筑大学学报,1996,29(1)
【1-6】黄端芳.EPS钢塑复合板轻型结构的研究与应用[J].铁道建筑,2003, 9
【1-7】尹利君.超轻型GRC屋面板的研制[J].新型建筑材料[J],1999, 7
【1-8】刘南. 钢板岩棉夹芯复合板[J].建材科技,2002
【1-9】苑金生. 国外金属板屋面材料的发展及应用[J]. 建筑人造板,1998,3
【1-10】实用新型专利公报涉及建材的专利信息(五)[P].专利公报,2002
【2-1】吴鸿遥. 合成板、夹层板与整体板的强度计算原理[M],北京:国防工业出版社,1989
【2-2】张敏,于九明. 金属夹芯复合板及其制备技术的发展[J]. 工艺与新技术,2003,32(6)
【2-3】Lorna.J.Gibson Michael F.Ashby. Cellular solids:structure and properties [M] Cambridge, CB2 2RU, United Kingdom : Cambridge University Press ,1997. 81-151
【2-4】Hunt,H.E.M. The mechanical strength of ceramic honeycomb monoliths as determined by simple experiments [J]. Trans , Inst.Chem.Eng.1993,71A:257-266
【2-5】蔡四维. 复合材料结构力学.[M]. 北京:人民交通出版社,1987. 17-20
【2-6】陈铮, 周飞, 王国凡. 材料连接原理[M]. 黑龙江:哈尔滨工业大学出版社 1998. 141-143
【2-7】周雨 蜂窝夹层结构复合材料的性能研究[D]:[硕士学位论文]. 西安:西北工业大学,2003
【2-8】范秋习 蜂窝夹层复合材料[J]. 北京轻工业学院学报,1998,16(2)
【2-9】梁森,陈花玲,陈天宁,梁天锡等. 蜂窝夹芯结构面内等效弹性参数的分析研究[J]. 航空材料学报,2004,24(3)
【2-10】周祝林,高俞. 船用玻璃钢夹层结构的拉神性能[J]. 玻璃钢,1996,45(3)
【2-11】季铁正,蓝立文. 蜂窝夹芯板的结构与应用[J]. 新型建筑材料,1995,2
【2-12】张广平. 复合材料夹心板及应用[J]. 纤维复合材料,2002,2
【2-13】尹久仁,富明慧,张平. 一类网格结构模型的研究 力学学报 2002,34(2)
【2-14】于战果,郑炳良,王凤忠等. 军用厢式车夹层结构设计研究[J],2002,3
【2-15】X. Frank Xu ,Pizhong Qiao . Homogenized elastic properties of honeycomb sandwich with skin effect[J]. International Journal of Solids and Structures,2002,39
【2-16】An Chen,Julio F.Davalos. A solution including skin effect for stiffness and stress field of sandwich honeycomb core[J]. International Journal of Solids and Structures,2005,42
【3-1】中科院力学研究所.夹层板壳的弯曲、稳定和振动[M]. 北京:科学出版社,1977.
【3-2】吴鸿遥. 合成板、夹层板与整体板的强度计算原理[M].北京: 国防工业出版社,1989
【3-3】飞机设计手册[Z]. 北京:国防工业出版社,1981,
【3-4】刘仁怀,朱金福. 夹层壳非线性理论[M]. 北京:机械工业出版社,1993
【3-4】张向,许晶月. 复合材料夹芯板组合单元有限元分析[J]. 郑州大学学报(自然科学版),1995,27(1)
【3-5】成广民,丁锁柱. 复合材料蜂窝夹层结构计算的一般方法和进展[J]. 玻璃钢/复合材料,1996,2
【3-6】刘畅,钟善桐,苗若愚. 正交各向异性夹层板基本抗弯方程[J]. 哈尔滨建筑大学学报,1998,31(2)
【3-7】刘福江,曹文洲,王新华. 基于 Huff 夹层板理论的复合材料结构有限元分析[J]. 中国民航学院学报,1998,16(3)
【3-8】刘畅,郭靳时用差分法求解正交各向异性夹层板的弹性弯曲方程[J]. 吉林建筑工程学院学报,1999,1
【3-9】李向红. 变厚度夹层板的弯曲问题[J]. 江苏理工大学学报(自然科学版),1999,20(5)
【3-10】徐胜今,孔宪仁,王本利,马兴瑞等. 正交异性蜂窝夹层板动、静力学问题的等效分析方法[J]. 复合材料学报,2000,17(3)
【3-11】吴晖,俞焕然. 四边简支波形夹层板的振动和稳定[J]. 兰州大学学报(自然科学版),2002,38(4)
【3-12】Lok,Tat-Seng,Cheng, Qian-Hua. Elastic stiffness properties and behavior of truss-core sandwich panel [J]. Journal of Structural Engineering,2000,126(5)
【3-13】Pai, P. Frank. Higher-order sandwich plate theory accounting for 3-D stresses [J]. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference,2000,1(2)
【3-14】Frank Pai,P. A higher-order sandwich plate theory accounting for 3-D stresses [J]. International Journal of Solids and Structures,2001,38(30-31)
【3-15】Takeichi,Michifumi. Static strength properties of an aluminum alloy honeycomb sandwich panel and strength reliability evaluation of an actual car body structure[J]. American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP,2002,438
【4-1】赵才其,马军,赵惠麟. 单层工业厂房板片结构的选型研究及工程实践[J].工业建筑,2004,368(34)
【4-2】宋曼华,柴永日,武人岱.钢结构设计与计算[M].北京:机械工业出版社,2000
【4-3】钱明权.赵惠麟.赵才其. 板片空间结构体系[J]. 建筑知识,1994,1
【4-4】马军.赵惠麟.赵才其. 板片空间结构三心圆柱面网壳研究设计[J]. 江苏建筑,1996,3
【4-5】刘承宗.周志勇.赵惠麟. 板片空间结构动力特性与非线性地震反应分析[J].1999,29(10)
【4-6】王勋成.邵敏. 有限单元法基本原理和数值方法[M].北京:清华大学出版社,2000
【4-7】王秀丽. 徐菁. 方有珍. 空间梁元法在单层网壳设计中的应用[J]. 甘肃工业大学学报,2000,26(3)
【4-8】王秀丽. 徐菁. 方有珍. 空间梁元法在单层网壳设计中的应用[J]. 甘肃工业大学学