Papers by Keyword: Tooth Contact Analysis (TCA)

Abstract: The contents of the paper cover tooth contact analysis and optimization of transmission error for Klingelnberg spiral bevel gear. First, the rolling model, tooth contact analysis formulas are derived, contact area and transmission error curve is plotted. Second, the fuzzy optimization method is established to enhance the performance of the gears meshing, the optimization parameters can be confirmed to reduce transmission error. Third, an example of Klingelnberg spiral bevel gear for the illustration of the developed theory is represented.

Abstract: Tooth contact analysis (TCA) is an effective tool for meshing analysis of the double circular arc profile spiral bevel gear (DCAPSBG), and it is the basis of loading tooth contact analysis and finite element analysis. The TCA application is developed by Visual Basic and MATLAB mixed programming method, this paper compared the results of the TCA application analysis with the results of contact area check experiment on one pair of gears with given parameters. The TCA application had been verified by real experiment, this provided an effective approach for the design of DCAPSBG.

Abstract: Design and manufacturing of spiral bevel and hypoid gears is highly complicated and has to be based on the employment of computerized tools. This paper comprehensively describes the latest developments in computerized modeling of tooth surface generation, flank form error correction, ease-off calculation, and tooth contact analysis for spiral bevel and hypoid gears. Accordingly, advanced software programs for computerized design and manufacturing of hypoid gears are developed.

Abstract: In order to precisely control the meshing performance of spiral bevel gear pair, this paper represents a quantitative evaluation method using transmission error curve and tooth face contact trace. The design, using local synthesis method, obtains the manufacturing parameters of gear pair and forms the tooth face of spiral bevel gear. This paper accomplishes the quantitative evaluation by the following methods: using tooth contact analysis (TCA) to obtain actual transmission error curve and tooth face contact trace; quantitatively evaluating the transmission error curve by comparing the web values of actual and preset theoretical transmission error curves; quantitatively evaluating the tooth face contact trace by comparing the requirements (such as in shape, size and position) defined for spiral bevel gear tooth face contact trace and the corresponding parameters of an externally-connected rectangle, which surrounds the tooth face contact trace and is used to describe tooth face contact trace. This paper conducts a meshing performance analysis and quantitative evaluation of an aero spiral bevel gear pair. The result shows that, the actual and preset theoretical transmission error curves are basically in coincidence and the tooth face contact trace meets the requirements. This quantitative evaluation method lays a foundation for analyzing the relationship between transmission error curve and tooth face contact trace and for analyzing the installation error sensitivity.

Abstract: In order to reduce the sensitivity of straight bevel gear drives to misalignment, a new geometry of such gear drives is proposed in longitudinal direction. Point contact instead of line contact of tooth surfaces is achieved by longitudinal crowning of pinion tooth surface. The tooth surface modeling and tooth contact analysis (TCA) of straight bevel gear drives have been established. TCA program of a pair of straight bevel gears was performed in MATLAB and tooth bearing contact and transmission errors were obtained.

Abstract: The generating of face gear with arcuate tooth has been proposed in this paper, and the meshing characteristics are investigated. Based on the concept of imaginary gear cutter, tooth surface equation has been derived, flank modification has also been considered. The transmission errors and bearing contacts of the face gear drive with arcuate tooth under different assembly conditions are investigated by applying the tooth contact analysis. The numerical results reveal that the bearing contacts are not sensitive to the errors of misalignments, and a more favorable type parabolic function of transmission errors with better symmetry and reduced amplitude may be obtained according to the modification of the face gear.

Abstract: At the FZG (Gear Research Centre, Munich, Germany) a research project was carried out to analyze the influence of the hypoid offset on the load capacity of bevel gears by systematic theoretical and experimental investigations. For the experimental investigations two types of bevel gears were designed, one for the pitting tests and one for the tooth root tests. The results of the tooth root tests showed as expected an increasing load capacity with higher offsets. In contrast the pitting tests showed an increasing, but after reaching a maximum, a decreasing load capacity with higher offsets. Regarding the test results a new calculation method was developed that is based on a loaded tooth contact analysis (LTCA). The method is able to consider the local stresses on the flank and in the tooth root. The local strength values are derived out of the standard ISO 6336 for the calculation of helical gears. For bending the local geometry of the tooth root is considered to adopt the strength values of helical gears to bevel and hypoid gears. As a result the local safety factors might be calculated along the face width of pinion and wheel. For pitting the local sliding conditions are taken into account in order to appraise the local lubrication conditions as well as the risk of crack initiations due to shear stresses and higher contact temperatures. The recalculation of the test showed for both types of failure a good correlation between the test results and the calculated values.

Abstract: Planetary gear trains have many advantages in applications. In these advantages, quiet noise and slight vibration may be contribute to low Transmission Error (TE), which can be calculated by Tooth Contact Analysis (TCA). However, to obtain numerical solution of the meshing equations based on TCA for planetary gear trains is very difficult because of a large number of nonlinear equations and unknowns. A simplified method utilizing planet phase angle is investigated and the numerical solution of planetary gear trains TE by TCA can be realized in this paper.

Abstract: The contact characteristics of spherical gear and ring-rack are researched in this paper. First, the tooth profile surface equation of spherical gear is established on the basis of the transmission theory of spherical gears. After that, the profile surface equation of ring-rack is established. Then, kinematics of the transmission of spherical gear and ring-rack is researched, the appreciate coordinates are established, and the profile surfaces of spherical gear and ring-rack are described in the same coordinate. Then, the contact analysis is conducted between spherical gear and ring-rack, and the contact point and ellipse parameters are acquired, as well as the rules of their evolvements. The conclusions above are benefit to further research on the transmission of spherical gear and ring-rack.

Abstract: An improved algorithm of tooth contact analysis (TCA) is proposed to overcome the deficiency of the current TCA algorithm for hypoid gear. The key improvement of the proposed algorithm is to introduce proportional coefficients of tooth length and tooth height in TCA. The solution domain of the nonlinear equations in TCA is limited in the range of tooth surface by variable substitution. By analyzing the positions which boundary points possibly appear on axial section, the values of proportional coefficients corresponding to the positions are obtained. Boundary points of the contact trace are computed with particle swarm algorithm and conjugate gradient method, and distributed points on the contact trace are solved according to information of boundary points. With the improved algorithm the boundary points of the contact trace can be figured out accurately and there is no need to set initial values for tooth contact analysis.