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Calculation method for equivalent torsional, tensile and flexural stiffness of ball screw

A technology of bending stiffness and tensile stiffness, which is used in calculations, design optimization/simulation, special data processing applications, etc., can solve the deviation of calculation results, and does not mention the calculation method of screw torsion and bending stiffness, etc. problem, to achieve the effect of accurate results and strong applicability

Inactive Publication Date: 2017-08-25
UNIV OF SHANGHAI FOR SCI & TECH
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Problems solved by technology

The tensile stiffness of the lead screw can be obtained according to the national standard GB-T17587.4-2008, but the national standard ignores the influence of the inner diameter of the lead screw, the lead and the number of wires on the stiffness, and there are deviations in the calculation results, and does not mention the wire The calculation method of the torsional and bending stiffness of the bar still needs to be supplemented

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  • Calculation method for equivalent torsional, tensile and flexural stiffness of ball screw
  • Calculation method for equivalent torsional, tensile and flexural stiffness of ball screw
  • Calculation method for equivalent torsional, tensile and flexural stiffness of ball screw

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Embodiment Construction

[0051] In order to calculate the equivalent stiffness of the lead screw, the steps of the calculation scheme provided by the present invention are:

[0052] 1) Investigate the cross-section of the lead screw when the number of lines is 1, such as figure 1 The cross-sectional view of the single-wire lead screw shown, divides the cross-section into two surfaces of area I and area II according to the fan shape and the crescent shape, such as figure 2 and image 3 The single wire ball screw diagram shown and the figure 2For the constant-section beam diagram with the same cross-section, calculate the torsional and tensile stiffness of the constant-section beam with the same cross-section as that of the single-wire ball screw (the cross-section is perpendicular to the axis of the screw):

[0053]

[0054] where G(I ρ ) is the torsional stiffness of the beam with equal section, E(A) is the tensile stiffness of the beam with equal section, G is the shear modulus of the lead sc...

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Abstract

The invention relates to a calculation method for equivalent torsional, tensile and flexural stiffness of a ball screw. The method comprises the steps of firstly inspecting a single-start screw and calculating torsional, tensile and flexural stiffness of a uniform beam with the same section as the screw; fitting a size effect coefficient by introducing a two-dimensional lognormal distribution probability density function, and in combination with the stiffness of the uniform beam, finally obtaining equivalent torsional, tensile and flexural stiffness of the single-start screw; and finally introducing a stiffness reduction quantity, and through superposition principle popularization, obtaining equivalent torsional, tensile and flexural stiffness of a ball screw with any start number or a hollow ball screw. Compared with international and other methods, the calculation method considers the influence of all screw parameters, including the outer diameter, the inner diameter, the ball diameter, the screw lead and the start number, on the stiffness; and the calculation method is more accurate in calculation and wider in applicability, and provides a research basis for feed system control, dynamics, thermotics and installation consistency research of the ball screw.

Description

technical field [0001] The invention relates to a measurement control technology, in particular to a calculation method for equivalent torsion resistance, tension resistance and bending resistance of a ball screw. Background technique [0002] The ball screw is a common transmission device in the industry and is widely used in various occasions. The ball screw has many advantages. Its system is a point contact system, which has small frictional resistance during work, high sensitivity, high transmission efficiency, high precision, and reversible motion. As an important performance parameter of the lead screw, the stiffness plays an important role in the research, measurement and control of the lead screw. The tensile stiffness of the lead screw can be obtained according to the national standard GB-T17587.4-2008, but the national standard ignores the influence of the inner diameter of the lead screw, the lead and the number of wires on the stiffness, and there are deviations...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 胡育佳王曜宇李郝林郭卫宫刘威周鸿涛
Owner UNIV OF SHANGHAI FOR SCI & TECH
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