Power flow method for analysis of flexible foundation vibration isolation system of CNC machine tools

Power Flow Method for Analysis of Flexible Foundation Vibration Isolation System of Mechanical Engineering Flying CNC Machine Tool Zhou Xiaotong. Liu Yuxian School of Mechanical Engineering, Shenyang University of Technology, Shenyang 0023, Liaoning, established the dynamics mathematics and simulation model of the flexible base vibration isolation system of CNC machine tools, and comprehensively optimized the performance parameters and installation position of the isolator. The vibration isolation of the upper floor machine tool has been usefully explored and tried from the theoretical research, and laid a preliminary foundation for the vibration isolation of CNC machine tools.

CNC machine tools have been widely used as advanced high-precision processing equipment, and with the increase of multi-layer industrial plants, processing machine tools are a trend, with important social and economic benefits. At present, the domestic research on machine tool vibration mostly regards the foundation of the machine tool as a rigid body. Obviously, this is inconsistent with the fact that the foundation of the machine tool installed on the elastic floor board is flexible, so that the application of the traditional power analysis and vibration control method is affected. There are great limitations and the errors are even greater. Although a small number of researchers 12 have considered the flexible coupling between machine tools and foundations, it is not ideal to obtain vibration transmission information by analyzing dynamic forces or responses.

In recent years, the power flow method of the flexible vibration isolation system has become an important direction in the field of vibration and noise research. This method analyzes the vibration isolation of the vibration system from the energy point of view, overcomes the limitations of the traditional method, and considers the force and response. The relationship between size and phase.

The nano-composite method and power flow theory are used to analyze the vibration problem of the coupling system of the CNC machine vibration isolator floor, and from the power flow point of view, the installation position and characteristic parameters of the vibration isolator are comprehensively optimized.

The admittance analysis method can decompose it into a subsystem, that is, the power transmission relationship between the subsystems of the machine tool.

1 Mechanical Model of Vibration Isolation System 2 Power Flow Rigidity in Vibration Isolation System The machine tool is mounted on the elastic damper beam 0 of the simply supported 3 at both ends by six identical isolators 8. The performance of the isolator is described by the complex stiffness as 1 = 1 + 17 for the damping loss factor of the isolator; the damping characteristic of the beam is 1 + 0.5 for the internal loss factor of the beam and the installation size, considering the system Regarding the plane symmetry of the Yu 07, it can be simplified to the plane processing.

According to the power transfer relationship of 2, the substructure admittance synthesis method is applied, and the dynamic characteristic equation of each subsystem is derived, and according to the coupling relationship of each substructure, the dynamic transfer equation of the system can be obtained. If the order is there, female, Tieling, Liaoning Province, associate professor of Shenyang University of Technology, doctoral student.

The end parameter matrix 纟, = 2, is the basic admittance matrix.

For the machine tool installed on the floor, the vibration power flow is transmitted by the machine tool to the basic structure through the vibration isolator, so the power flow input according to the vibration power flow is transmitted to the foundation through the vibration isolator, and the power flow is defined as the transmission rate. Then, the energy transfer rate 2 is the ratio of the vibration energy of the two, and the smaller the transfer rate 7, the better the vibration isolation effect.

The matrix parameters in the above equations are specifically determined by the following relationship: 2.1 The basic admittance matrix is ​​the mode shape function of the simply supported beam at both ends is the natural frequency of each order of the simply supported beam at the undamped ends.

2.2 The machine matrix admittance matrix A22l sub-matrix is ​​A, which is a matrix with matrix elements of 1; is the excitation force position coordinate array; 6 is the vibration isolator position coordinate array. =, Cai, 1 =, where the money, respectively, for the machine tool quality and the machine tool around the 7-axis moment of inertia, for the excitation force frequency 2.3 isolators system end parameter matrix The vibration isolation system of the vibration isolation system is made of rubber and rigidity The combination of materials, its dynamic performance is described by complex stiffness, and the block matrix is ​​obtained by the end parameter technique. The matrix parameters are substituted into the formula, and the simulation is completed. The simulation calculation and results analysis of the lathe and Kaifeng East Asia Machinery Parts Factory The cast iron rubber isolator produced by the model is simulated according to the application of the 阽人8 software. If 7=0.05, 5=0., the calculation results and analysis are as follows.

3.1 Simulation calculation of the installation position of the vibration isolator For the vibration isolation system, six identical vibration isolators are installed. According to the principle of the arrangement of the vibration isolator, for the vibration isolator installed at the corner of the outer contour of the machine tool, this paper takes the best 61. Arrangement scheme, therefore, the value of this paper focuses on optimizing 62. According to the installation position of the actual CNC machine vibration isolator and the outer dimensions of the vibration isolator and the machine tool, considering the uniformity of the force of each isolator, the value range of this paper is 62. =1. The energy transfer rate varies with the vibration isolator mounting position 62.

It can be seen from 4 that the transmission rate of the vibration isolation system is linear with the stiffness of the vibration isolator, that is, as the stiffness of the vibration isolator increases, the transmission rate increases and the vibration isolation effect decreases. Therefore, in the actual design process, the smaller stiffness should be selected with reference to the allowable range of the vibration isolator.

Conclusion For the machine tools installed on the floor, the traditional vibration isolation theory is no longer applicable. In this paper, the energy flow rate formula of the vibration isolation system is given by the theory of power flow, and then the influence of the vibration parameter size on the system function is judged from the energy distribution of the system.

For a given machine and plant. The vibration isolation effect of the vibration isolator decreases as the stiffness of the isolator increases, so reducing the stiffness of the isolator can significantly improve the vibration isolation effect.

For a given machine and plant, the mounting position of the isolator also has an important effect on the vibration isolation. In actual engineering, the preferred installation location should be selected according to the actual situation.

Yan Jikuan. Mechanical vibration isolation technology. Shanghai Shanghai Science and Technology can be seen from 3, the transmission rate of the vibration isolation system fluctuates with the change of the vibration isolation device support position. In the actual design, the installation conditions of the vibration isolator should be considered comprehensively. Use the range, refer to 3, and choose the preferred installation location. 3.2 Isolation of the vibration isolator The calculation of the force of the actual CNC machine tool is still at this time. The position coordinate array of the isolator is based on the stiffness value of the existing isolator, and the stiffness of the isolator is assumed to be 1501+0.05jNcm. The transfer rate varies with the stiffness of the isolator.

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