摘要
利用弹性力学的刚度等效原理,将结构复杂的复合材料路面板简化为材料均匀的正交异性板,建立弹性等效模型,为此类问题的具体分析提供一种简明规范的方法。利用弹性力学理论,首先计算出中间方形管粘结板的各向刚度,将其等效为相同尺寸的正交异性板,由刚度相等,推导出了等效板的杨氏模量、切变模量和泊松比等结构属性的计算公式;在此基础上,将整个路面板等效为正交异性板,建立了等效板的材料属性公式化计算模型;最后,选用一块具体的路面板,利用有限元分析软件ANSYS,建立路面板和等效板的有限元模型。结果表明:从均布荷载作用下两模型的变形比较图可以看出,路面板模型的最大变形为-14.73 mm,等效板模型最大变形为-13.97mm,两者相差5.2%。由于等效板模型对变形作了一定假定,引起板刚度增大,所以计算出的位移减小,其误差是可以接受的,由此证明了弹性等效模型是正确的。
Using stiffness equivalent theory of elastic mechanics, this paper simplifies the complex fiber reinforced plastic pavement deck to a piece of material well-proportioned orthotropic deck , and builds the elastic equivalent model, so as to put forward a kind of simple and canonical method for such problems. This paper firstly calculates the stiffness of the tube panel in each direction with elastic mechanics theory, and equates the tube panel to a piece of orthotropic plate with the same dimension. By equal stiffness, this paper deduces the formulas of elasticity modulus, shear modulus and poisson＇s ratios of the equivalent plate. Then, based on above conclusion, this paper equates the whole pavement deck to a piece of orthotropic plate with the same dimension, and builds material properties formula calculation model of the equivalent plate. At last, this paper chooses a practical pavement deck, builds two finite element models of the pavement deck and equivalent plate by using ANSYS. From distortion comparative pictures, it is concluded that the pavement model＇ s biggest distortion is -14.73 mm, equivalent plate＇ s biggest distortion is -13.97 mm, and their difference is 5.2%. As the equivalent plate model makes some assumptions that result in the stiffnesses being large and the calculation distortion results being decreased, but the error is acceptable. 8 figs, 12 refs.
出处
《长安大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第5期24-29,共6页
Journal of Chang’an University(Natural Science Edition)
基金
国家交通战备办公室科技项目(JTZB2005-04)
关键词
道路工程
复合材料
路面板
弹性力学
等效模型
有限元方法
road engineering
fiber reinforced plastic material
pavement deck
elastic mechanics
equivalent model
finite element method
