接触的模态分析格里森螺旋锥齿轮磨床--张启生
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Zhang Qisheng, Li Ruiqin School of Mechanical and Power Engineering, North University of China, TaiYuan, Shanxi, 030051, China
e-mail: 1020709642@qq.com
2.2 Foundation of Modal Analysis Theory with
Prestress
In the process of solving prestressed modal analysis, first,
proceed the linear static analysis, that it is also to solve the
equation（2）, then get the stress stiffness matrix which
is used to calculate structure analysis （[σ 0 ] → {S} ）,
at last to solve the prestressed modal by using formula (3).
Where, [M] is mass matrix，[C] is damping matrix，
[K] is stiffness matrix,{x} is displacement vector,{F} is force vecto.
In linear static structure analysis, the force has nothing
[K + S] + ωi2[M ]{φi} = 0
（3）
Where, ωi is the frequency of vibration，ϕi is the modal.
来自百度文库
3 Establish Gleason Spiral Bbevel Gear Model 3.1 The basic parameters of spiral bevel gear The gear of transmission system of grinding head for a certain steel enterprise developed in the paper is spiral
gear of figure 1) installed on the main shaft, which speed
is from 2000r / min to 3500r / min . Big gear Driven
by a motor, which was installed on the input shaft end and cantilever support, while small gear installed on the output shaft at both ends by the bearing on the box body, The
Abstract: In order to meet the demanding of grinding machine for grinding production line in a steel factory, transmission system of grinding head is designed by use of parametric design software UG. The CAD model made by UG is directly export to the analysis software ANSYS WORKBENCH through the good data interface technology. The linear statics analysis and modal analysis are carried out by using ANSYS Workbench，And the distribution of stress and strain of spiral bevel gear are obtained, and the natural frequency and vibration mode are obtained. The simulation results provide a reference for dynamic design of gear transmission system.
bevel gear. Input shaft torque T1 = 2100N ⋅ m , big gear
is driving wheel（A gear at the bottom of figure 1）, the
speed of the gear is 1500r / min .while Small gear (top
Key words: ANSYS; Natural frequency; Modal analysis; Contact stress; Spiral bevel gear
1 Introduction Spiral bevel gear has the ability of stable transmission, large bearing capacity, low noise and etc, which is widely used in aviation, aerospace and engineering mechanical transmission system. Grinding head is the core component of the grinding machine[1]. It will not only bear the vibration produced by the exciting force of internal gear and gear box, but also bear the vibration caused by the impact forced of steel billet while at work. So, it is important to analysis the inherent vibration characteristics of the spiral bevel gear, and to find out the weak points of the gear in work condition, to avoid the occurrence of resonance by improving the structure design. That will improve the fatigue strength and life of the spiral bevel gear, and have important practical application value.
to do with the time, so displacement {x}can be work out
by the matrix equation (2).
[K ]{x} = {F}
(2)
In the process of analysis shall meet the following assumptions: matrix of [K]must be continuous; the corresponding materials must satisfy the linear elastic and small deformation theory; At the same time does not consider the load that changes over time, and the effect of inertia such as mass, damping etc.
Proceedings of 2014 IFToMM Asian Conference on Mechanism and Machine Science July 9–10, 2014, Tianjin, China
Contact Modal Analysis of Gleason Spiral Bevel Gear of Grinding Machine
In recent years, many scholars at home and abroad conduct analysis on modal of gear using the finite element method, such as REN Hai-guo [2] calculated the natural vibration characteristics of five spiral beval gear for different web thickness and summarized several basic lower order modes. MU Can [3]obtained the natural frequencies in different orders and discussed the influence of the gear parameters such as normal module, number of teeth, helix angle and profile modification coefficient on gear modal.
To solve structure inherent characteristics on the basis of the first step.
2.1 Theory of Linear Statics Analysis The analysis of linear static structure is used to calculate the effects under fixed structure loading without considering the effect of inertia and damping[4]. In classical mechanics theory, the General equation of dynamics of object is:
In this paper, aiming at the demand of the grinding machine of a steel company, a set of grinding head gear reducer is designed, which is used the spiral bevel gear transmission. And then studied the inherent characteristics and vibration mode under the steady working state by using finite element analysis software.
2 The Foundation of Modal Analysis Theory The stress of grinding head of grinding machine may affect the natural frequency that caused by constant load under the steady working state. So it is important to consider the effect of the prestressed when analysis of the modal. The basic process of prestressed modal calculation is as follows: First, to do the linear static analysis, then,
e-mail: 1020709642@qq.com
2.2 Foundation of Modal Analysis Theory with
Prestress
In the process of solving prestressed modal analysis, first,
proceed the linear static analysis, that it is also to solve the
equation（2）, then get the stress stiffness matrix which
is used to calculate structure analysis （[σ 0 ] → {S} ）,
at last to solve the prestressed modal by using formula (3).
Where, [M] is mass matrix，[C] is damping matrix，
[K] is stiffness matrix,{x} is displacement vector,{F} is force vecto.
In linear static structure analysis, the force has nothing
[K + S] + ωi2[M ]{φi} = 0
（3）
Where, ωi is the frequency of vibration，ϕi is the modal.
来自百度文库
3 Establish Gleason Spiral Bbevel Gear Model 3.1 The basic parameters of spiral bevel gear The gear of transmission system of grinding head for a certain steel enterprise developed in the paper is spiral
gear of figure 1) installed on the main shaft, which speed
is from 2000r / min to 3500r / min . Big gear Driven
by a motor, which was installed on the input shaft end and cantilever support, while small gear installed on the output shaft at both ends by the bearing on the box body, The
Abstract: In order to meet the demanding of grinding machine for grinding production line in a steel factory, transmission system of grinding head is designed by use of parametric design software UG. The CAD model made by UG is directly export to the analysis software ANSYS WORKBENCH through the good data interface technology. The linear statics analysis and modal analysis are carried out by using ANSYS Workbench，And the distribution of stress and strain of spiral bevel gear are obtained, and the natural frequency and vibration mode are obtained. The simulation results provide a reference for dynamic design of gear transmission system.
bevel gear. Input shaft torque T1 = 2100N ⋅ m , big gear
is driving wheel（A gear at the bottom of figure 1）, the
speed of the gear is 1500r / min .while Small gear (top
Key words: ANSYS; Natural frequency; Modal analysis; Contact stress; Spiral bevel gear
1 Introduction Spiral bevel gear has the ability of stable transmission, large bearing capacity, low noise and etc, which is widely used in aviation, aerospace and engineering mechanical transmission system. Grinding head is the core component of the grinding machine[1]. It will not only bear the vibration produced by the exciting force of internal gear and gear box, but also bear the vibration caused by the impact forced of steel billet while at work. So, it is important to analysis the inherent vibration characteristics of the spiral bevel gear, and to find out the weak points of the gear in work condition, to avoid the occurrence of resonance by improving the structure design. That will improve the fatigue strength and life of the spiral bevel gear, and have important practical application value.
to do with the time, so displacement {x}can be work out
by the matrix equation (2).
[K ]{x} = {F}
(2)
In the process of analysis shall meet the following assumptions: matrix of [K]must be continuous; the corresponding materials must satisfy the linear elastic and small deformation theory; At the same time does not consider the load that changes over time, and the effect of inertia such as mass, damping etc.
Proceedings of 2014 IFToMM Asian Conference on Mechanism and Machine Science July 9–10, 2014, Tianjin, China
Contact Modal Analysis of Gleason Spiral Bevel Gear of Grinding Machine
In recent years, many scholars at home and abroad conduct analysis on modal of gear using the finite element method, such as REN Hai-guo [2] calculated the natural vibration characteristics of five spiral beval gear for different web thickness and summarized several basic lower order modes. MU Can [3]obtained the natural frequencies in different orders and discussed the influence of the gear parameters such as normal module, number of teeth, helix angle and profile modification coefficient on gear modal.
To solve structure inherent characteristics on the basis of the first step.
2.1 Theory of Linear Statics Analysis The analysis of linear static structure is used to calculate the effects under fixed structure loading without considering the effect of inertia and damping[4]. In classical mechanics theory, the General equation of dynamics of object is:
In this paper, aiming at the demand of the grinding machine of a steel company, a set of grinding head gear reducer is designed, which is used the spiral bevel gear transmission. And then studied the inherent characteristics and vibration mode under the steady working state by using finite element analysis software.
2 The Foundation of Modal Analysis Theory The stress of grinding head of grinding machine may affect the natural frequency that caused by constant load under the steady working state. So it is important to consider the effect of the prestressed when analysis of the modal. The basic process of prestressed modal calculation is as follows: First, to do the linear static analysis, then,