Free Modal Analysis for the Pinion of Logarithmic Spiral Bevel Gear with 20CrMnTi

2015 ◽  
Vol 667 ◽  
pp. 512-517
Author(s):  
Li Zhi Gu ◽  
Tie Ming Xiang ◽  
Peng Li ◽  
Jian Min Xu
Keyword(s):  
Modal Analysis ◽  
Natural Frequencies ◽  
Logarithmic Spiral ◽  
Element Model ◽  
Structure Design ◽  
Bevel Gear ◽  
Mode Shapes ◽  
Spiral Bevel Gear ◽  
Low Carbon ◽  
Spiral Bevel

In order to obtain the pinion's natural frequencies and mode shapes of a new kind of spiral bevel gear (SBG) which is logarithmic spiral bevel gear (LSBG) in the unconstrained state for the purpose of dynamic characteristics study, select the low carbon alloy steel 20CrMnTi (China specification) with good mechanical properties, which the carbon content is 0.17%-0.23%, the elastic modulus E=2.06675×1011Pa, the Poisson's ratio is 0.25, and the density is 7.85×103kg/m3, the finite element model of LSBG pinion which consist of 35100 nodes, 19889 Solid187 tetrahedron FEM elements is established by using free meshing method based on LSBG pinion's physical model in this paper. Solve the modal parameters of the first 6 orders, draw the main vibration mode shape according to the first 6 orders natural frequencies respectively. The first 6 orders critical revolution speeds are calculated by the first 6 orders corresponding natural frequencies, and the LSBG pinion allowable work revolution speeds are 117074.16 revolutions per minute. The free modal analysis of the conventional SBG pinion with the same parameters is done for comparison with LSBG pinion. The results show the LSBG pinion's nature frequency and the critical revolution speed are both lower than that of conventional SBG. The conclusions reflect the vibration response characteristics of LSBG pinion, and provide theoretical basis for dynamic response, structure design and optimization of LSBG pinion.

scholarly journals Free Modal Analysis for Spiral Bevel Gear Wheel Based on the Lanczos Method

2015 ◽  
Vol 9 (1) ◽  
pp. 637-645 ◽  
Author(s):  
Xiang Tieming ◽  
Zhou Shuiting ◽  
Yi Liao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Natural Frequencies ◽  
Gear Wheel ◽  
Lanczos Method ◽  
Bevel Gear ◽  
Mode Shapes ◽  
Spiral Bevel Gear ◽  
Modal Test ◽  
Spiral Bevel

In order to obtain the spiral bevel gear wheel natural frequencies and mode shapes in the unconstrained state for the purpose of dynamic characteristics study, the spiral bevel gear wheel three-dimensional solid model of a mini-bus main reducer is established in this paper. The finite element model of spiral bevel gear wheel which consists of 32351 nodes, 18436 solid187 tetrahedrons finite element method elements is established by using free grid meshing method in this paper. Extract the first 6 orders modals parameters such as natural frequencies and main vibration mode shapes by using the Lanczos method. The new 1st to 4th orders modals are formed by comparing and merging 2 orders repeated modals. In order to verify the effectiveness of the finite element analysis results, the experiment modal test based on the impulse force hammer percussion transient single-point excitation and multi-point response analysis method has been done. The maximum difference value of natural frequency between experimental modal test result and finite element modal analysis results is 29.86 Hz, the maximum error rate is 0.41%, which confirmed the result of finite element method is effective and reliable. The conclusions reflect the vibration response characteristics of spiral bevel gear wheel, and provide theoretical basis for dynamic response, structure design and optimization of spiral bevel gear wheel.

A New Method of Constructing Tooth Surface for Logarithmic Spiral Bevel Gear

2010 ◽  
Vol 129-131 ◽  
pp. 235-240 ◽  
Author(s):  
Qiang Li ◽  
Zi Liang Wei ◽  
Hong Bo Yan ◽  
Hai Yan Hu
Keyword(s):  
Logarithmic Spiral ◽  
Strength Distribution ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Surface Equation ◽  
Complex Curves ◽  
Logarithmic Spirals ◽  
Cone Surface ◽  
Spiral Bevel

For a new type of bevel gear—logarithmic spiral bevel gear, establish its tooth direction curves and the mathematical model of tooth surface equation. With CAD software platform which can intuitive understanding of complex curves and combined with conical logarithmic spiral parameter equation build the logarithmic spiral on cone surface. Then array logarithmic spiral to make them evenly distributed in the cone surface, without any interference and to meet the strength distribution on both ends of circular truncated cone equally. Use two logarithmic spirals from different starpoint as tooth direction curves of lift and right tooth surface. Finally, use space geometric knowledge to build tooth surface equation by tooth direction curves and tooth profile curves.

Logarithmic Spiral Bevel Gear Tooth Contact Inspection

2010 ◽  
Vol 44-47 ◽  
pp. 1345-1349
Author(s):  
Qiang Li ◽  
Wen He ◽  
Hong Bo Yan ◽  
Hong Xiang Zhang
Keyword(s):  
Contact Area ◽  
Detection Method ◽  
Gear Tooth ◽  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact ◽  
Ideal Number ◽  
Spiral Bevel ◽  
Gear Contact

Introduction of spiral bevel gear tooth contact detection method, detection method based on the principle of EPG in the Y9550-type bevel gear roll tester on a pair of spiral bevel gear tooth contact area of sample detection experiment, obtained by experiment logarithmic spiral bevel gear contact area of the location, shape and size of the result. The experimental results with the Gleason spiral bevel gear contact area and the ideal number of spiral bevel gears on the contact area were compared, obtained on the number of spiral bevel gear tooth contact of the correlation.

scholarly journals Surface Geometry of Circular Cut Spiral Bevel Gears

1982 ◽  
Vol 104 (4) ◽  
pp. 743-748 ◽  
Author(s):  
R. L. Huston ◽  
J. J. Coy
Keyword(s):  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Surface Geometry ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Spiral Bevel

An analysis of the surface geometry of spiral bevel gears formed by a circular cutter is presented. The emphasis is upon determining the tooth surface principal radii of curvature of crown (flat) gears. Specific results are presented for involute, straight, and hyperbolic cutter profiles. It is shown that the geometry of circular cut spiral bevel gears is somewhat simpler than a theoretical logarithmic spiral bevel gear.

Error Analysis of the Tooth Surface of Logarithmic Spiral Bevel Gear

2013 ◽  
Vol 19 (7) ◽  
pp. 2003-2006
Author(s):  
Qiang Li ◽  
Wen Kong ◽  
Hongbo Yan
Keyword(s):  
Error Analysis ◽  
Logarithmic Spiral ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Spiral Bevel

Dynamic Characteristics of the Coupled System of the High Pressure Rotor and the Radial Driveshaft of a Turbofan Engine

2008 ◽  
Vol 44-46 ◽  
pp. 127-134
Author(s):  
Ye Sen Fan ◽  
San Min Wang ◽  
Zhen Yang
Keyword(s):  
High Pressure ◽  
Dynamic Balance ◽  
Coupled System ◽  
Bevel Gear ◽  
Mode Shapes ◽  
Spiral Bevel Gear ◽  
Gear Pair ◽  
Turbofan Engine ◽  
Gear Box ◽  
Spiral Bevel

In a turbofan engine, the high pressure rotor and the radial driveshaft, which transmit the power from the internal gear-box to the external gear-box, are geared by a spiral bevel gear pair. In this paper, a reasonably simplified dynamic model of the coupled rotors system is established, and then, the coupled stiffness matrix and coupled damping matrix of the spiral bevel gear pair are deduced. A shaft element method is proposed to investigate the lateral-torsional coupled vibration equations of the gear-rotor system. Furthermore, the mode shapes and unbalance responses of this two rotors coupled system are simulated. The results indicate that the system derives many new modes and the exciting forces on a rotor of the system would be passed to the other rotor for the gears meshing. When the rotor dynamics of a turbofan engine is being analyzed, the high pressure rotor and the radial drive shaft must be viewed as a whole. The dynamic balance precision of the rotors should be qualified properly, in order to improve the dynamic quality of the turbofan engine.

Solving Method of Contact Area for Logarithmic Spiral Bevel Gear

2010 ◽  
Vol 439-440 ◽  
pp. 590-593 ◽  
Author(s):  
Qiang Li ◽  
He Wen ◽  
Hong Bo Yan
Keyword(s):  
Contact Area ◽  
Solution Method ◽  
Logarithmic Spiral ◽  
Elliptic Functions ◽  
Bevel Gear ◽  
Contact Theory ◽  
Spiral Bevel Gear ◽  
Hertz Contact ◽  
Spiral Bevel ◽  
Gear Contact

Introduces the solution method of logarithmic spiral bevel gear contact area, based on the logarithmic spiral bevel gear model divides any tooth, acquiring coordinate values, and then on the basis of Hertz contact theory, combined with elliptic functions, we found the solution method of a logarithmic spiral bevel gear contact area, and make judgment and shearing on the border of the contact area, which lays the foundation of solving the location, size and shape of the contact area on logarithmic spiral bevel gear.

scholarly journals Identification of Historical Veziragasi Aqueduct Using the Operational Modal Analysis

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
E. Ercan ◽  
A. Nuhoglu
Keyword(s):  
Modal Analysis ◽  
Natural Frequencies ◽  
Model Updating ◽  
Dynamic Properties ◽  
Dynamic Test ◽  
Element Model ◽  
Operational Modal Analysis ◽  
Modal Identification ◽  
Ambient Vibration ◽  
Mode Shapes

This paper describes the results of a model updating study conducted on a historical aqueduct, called Veziragasi, in Turkey. The output-only modal identification results obtained from ambient vibration measurements of the structure were used to update a finite element model of the structure. For the purposes of developing a solid model of the structure, the dimensions of the structure, defects, and material degradations in the structure were determined in detail by making a measurement survey. For evaluation of the material properties of the structure, nondestructive and destructive testing methods were applied. The modal analysis of the structure was calculated by FEM. Then, a nondestructive dynamic test as well as operational modal analysis was carried out and dynamic properties were extracted. The natural frequencies and corresponding mode shapes were determined from both theoretical and experimental modal analyses and compared with each other. A good harmony was attained between mode shapes, but there were some differences between natural frequencies. The sources of the differences were introduced and the FEM model was updated by changing material parameters and boundary conditions. Finally, the real analytical model of the aqueduct was put forward and the results were discussed.

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