Fractal Dimension Fitting of Virtual Material and Experimental Verification

Virtual material is a dynamic model of mechanical contact surface, which is suitable for finite element simulation. This method can characterize the stiffness and damping of the contact surface well by using fractal geometry theory to describe the contour of the contact surface. Based on standard W-M function, we verify the accuracy of the fractal dimension calculated by wavelet transform, and then fit the fractal dimension of machined surfaces with different roughness. Using the fractal dimension, we calculate the virtual material parameters to establish the finite element model of the unit specimen. Finally, we carry out the experimental modal analysis to examine reproduce the virtual material method.