Papers by Author: Hua Long

Abstract: After adopting the constitutive equations of the nonlocal elastic media in the form of Eringen, and making use of the Laplace transformation, the vibration governing equation of nonlocal elastic beam in the Kelvin media are established. Unlike classical elastic models, the stress of a point in a nonlocal model is obtained as a weighted average of the field over the spatial domain, determined by a kernel function based on distance measures. The motion equation of nonlocal elastic beam is an integral differential equation, rather than the differential equation obtained with a classical local model. Solutions for natural frequencies and modes are obtained. Numerical examples demonstrate the efficiency of the proposed method for the beam with simple boundary conditions.

Abstract: In this paper, the variable speed grinding experiments at high speed have been studied systematically, and the method of improving the surface quality of high-speed grinding has been discussed on the basis of analysis of the chatter and the stability of the high-speed grinder. Through the variable speed grinding experiments at high speed, the vibration characteristics were measured by the vibration energy, and the power spectrum were analyzed by the maximum entropy spectral estimation of the vibration signals in time series. The results confirm that the chatter of high-speed grinding can be suppressed by the variable speed grinding to a certain extent.