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The theoretical calculation method is a mathematical model to simulate the dynamic characteristics of the joint based on the structural dynamics principle, including the calculation method of normal surface characteristic parameters, the calculation method of bolt joint stiffness and Yoshimura Yuntaka integral. The normal parameter calculation method gives the formula for calculating the normal parameters of the joint surface under certain conditions. When the conditions of the joint surface meet the formula requirements, the formula can be used to solve the equivalent dynamic parameters of the joint. Bolt stiffness calculation method can calculate the normal and tangential stiffness of bolt by looking up the table; Yoshimura integral method is an approximate calculation formula obtained from theoretical analysis. By using the data provided by the database of dynamic characteristic parameters of unit area of the joint accumulated by experiments, the whole joint surface is integrated to obtain the dynamic parameters of the joint.

Based on linear and steady-state assumptions, and based on linear vibration theory, linear system discrimination theory and signal analysis theory, the test identification method identifies the equivalent dynamic parameters of joints locally or as a whole through dynamic tests. Common methods include: 1. Identification of multilayer joints based on mechanical impedance method.

Frequency response function recognition method

The method combining theoretical calculation and experimental testing is the combination of the above two methods. The general step is to first establish the dynamic model of the machine tool joint, and then conduct experiments on the joint specimen to obtain the modal data and frequency response function, and identify and calculate the unknown parameters. Including transfer matrix identification, Sata parameter identification and so on. Theoretical calculation method can make people accurately predict the dynamic characteristics of mechanical structure in the design stage, and can use finite element software for stress analysis and other optimization work.