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以重构核粒子法(Reproducing Kernel Particle Method,RKPM)形函数的基函数及核函数为基础,推导了形函数关于位移场的一阶及二阶导函数。依据弹性力学的Kirchhoff薄板弯曲及双参数地基模型理论,应用上述推导成果,得出了双参数地基上薄板弯曲位移解的重构核粒子法控制方程,形成双参数地基上薄板弯曲受力分析的重构核粒子法计算理论。通过相应的程序编制及算例分析对该理论进行了验证。结果表明:该方法能够为路面工程地基板的受力分析提供一种新型有效的计算手段。
Based on the basis functions and kernel functions of the Reproducing Kernel Particle Method (RKPM) shape function, the first and second derivatives of the shape function with respect to the displacement field are derived. According to the Kirchhoff sheet bending and two-parameter foundation model theory of elasticity, the governing equations of the reconstructed nuclear particle method for the solution of sheet bending displacement on the two-parameter foundation are obtained by using the above deduction results, and the bending force analysis of sheet metal on the two-parameter foundation is established Reconstruction of nuclear particle calculation theory. The theory is validated through the corresponding programming and example analysis. The results show that this method can provide a new effective calculation method for the stress analysis of pavement engineering pavement.