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格路与组合恒等式 被引量:6
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作者 王天明 马欣荣 《大连理工大学学报》 CAS CSCD 北大核心 1994年第6期628-632,共5页
给出格路集R_(n×m)的定义和其上的一种偏序关系;利用格路函数的性质计算出该偏序集的Mbius函数,从而建立其上的Mbius反演和一系列多元组合恒等式,使一些卷积公式成为其特例.
关键词 偏序 恒等式 格路函数 灭比乌斯函数
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Solution of pavement temperature field in“Environment-Surface”system through Green's function 被引量:2
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作者 陈嘉祺 李亮 +2 位作者 赵炼恒 但汉成 姚辉 《Journal of Central South University》 SCIE EI CAS 2014年第5期2108-2116,共9页
In order to simplify the boundary conditions of pavement temperature field,the "Environment-Surface" system which considered the natural environment and pavement surface was established.Based on this system,... In order to simplify the boundary conditions of pavement temperature field,the "Environment-Surface" system which considered the natural environment and pavement surface was established.Based on this system,the partial differential equations of the one-dimensional heat conduction in the pavement were established on the basis of the heat transfer theory.Furthermore,the function forms of the initial and boundary conditions of the equations were created through the field experiments.The general solution of the pavement one-dimensional heat conduction partial differential equations was acquired by using Green's function,and the explicit expression of pavement temperature field under specific constraint conditions was derived.For the purpose of analysis,the pavement temperatures in different seasons were calculated using the explicit expression of pavement temperature field,and the calculation accuracy was analyzed through the comparison between measured and calculated values.Then,the relationship between fitting accuracy and calculation accuracy of pavement temperatures was analyzed.The analysis results show that: the usage of "Environment-Surface" system simplifies the calculation of pavement temperature field; the relative error between calculated and measured values is generally less than 7% and is seldom influenced by seasons; there is a positive correlation between the calculation accuracy and the fitting accuracy of pavement surface temperature; high fitting accuracy would result in less error of pavement temperature prediction. 展开更多
关键词 road engineering pavement temperature field "Environment-Surface" system heat transfer theory Green's function
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Structural-acoustic coupling characteristics of honeycomb sandwich plate based on parameter sensitivity analysis 被引量:1
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作者 王盛春 沈卫东 +1 位作者 徐嘉锋 李赟 《Journal of Central South University》 SCIE EI CAS 2014年第1期252-261,共10页
The structural-acoustic coupling model for isotropic thin elastic plate was extended to honeycomb sandwich plate(HSP) by applying Green function method.Then an equivalent circuit model of the weakly-strongly coupled s... The structural-acoustic coupling model for isotropic thin elastic plate was extended to honeycomb sandwich plate(HSP) by applying Green function method.Then an equivalent circuit model of the weakly-strongly coupled system was proposed.Based on that,the estimation formulae of the coupled eigenfrequency were derived.The accuracy of the theoretical predictions was checked against experimental data,with good agreement achieved.Finally,the effects of HSP design parameters on the system coupling degree,the acoustic cavity eigenfrequency,and sound pressure response were analyzed.The results show that mechanical and acoustical characteristics of HSP can be improved by increasing the thickness of face sheet and reducing the mass density of material. 展开更多
关键词 honeycomb sandwich plate sensitivity structural-acoustic coupling
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