摘要
双模量扁壳在均匀内压作用下,会形成拉压弹性模量不同的各向同性拉伸区和压缩区,把双模量扁壳看成两种材料组成的层合扁壳,采用板壳理论求得了双模量扁壳在均匀内压作用下中性面位置;推导出了双模量扁壳挠度与均匀内压的关系式,并把该方法的计算结果与有限元方法计算结果进行了比较,验证了该计算方法的可靠性。算例分析表明,当拉压弹性模量相差较大时,将双模量材料当作单模量材料计算,其误差绝对值最小值为24.4%,误差绝对值最大值为35.38%。因此,均匀内压作用下双模量简支扁壳的大挠度弯曲计算必须考虑双模量材料拉压弹性模量不同的特性。
Bimodulus flat shell can form isotropic compressive and tensile area under loads.Bimodulus flat shell is regarded as laminated plate composited of two kinds of isotropic materials.The location of neutral plane in bimodulus flat shell is determined by the theory of plates and shells.Then the deflection equtions of bimodulus flat shell under uniform inner pressure are got.Meanwhile the calculated results of this method are compared with the finite element method,which verifies the reliability of the calculation method.The example shows when there is larger difference between tensile elastic modulus and compressive elastic modulus and the bimodulus material is calculated as single-modulus,the minimum absolute error is 24.4%and the maximum absolute error is 35.38%.Therefore,the large deflection calculation of flat shell in the uniform internal pressure must consider different characteristics of bimodulus material between tensile elastic modulus and compressive elastic modulus.
出处
《应用力学学报》
CSCD
北大核心
2017年第3期553-558,共6页
Chinese Journal of Applied Mechanics
基金
湖南省科技计划(湘财指[2011]65号)
湖南"十二五"重点建设学科项目
关键词
均匀内压
双模量
扁壳
大挠度
弯曲
uniform inner pressure
bimodulus
flat shell
large deflection
bending
