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Figure 4 shows the variation of spur gear billet volumes with various modification coefficients and gear teeth by using above three methods.
Open image in new window Fig. 4 Gear volumes varied with different modification coefficients and number of teeth a reference circle method; b average circle method; c three-dimensional modeling method.
In this paper, the effects of modification coefficients and helical angles on the transient meshing performance of the gears are investigated using the method of explicit dynamic finite element analysis (FEA) in an energy point of view.
Open image in new window Fig. 5 Relative error curves with different modification coefficients and number of teeth a reference circle method; b average circle method F_{a} = left| {frac{{V_{a} - V_{text{proe}} }}{{V_{text{proe}} }}} right| times 100,% (14) F_{r} = left| {frac{{V_{r} - V_{text{proe}} }}{{V_{text{proe}} }}} right| times 100,% (15).
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The relative error is determined by the number of tooth, modification coefficient and top clearance coefficient, etc.
The transient meshing performance of the gears is dependent on their structural parameters like modification coefficient and helical angle among others.
Figure 5a shows reference circle method to calculating gear volume with different number of tooth and modification coefficients.
Figure 5b shows average circle method for calculating gear volume with different numbers of tooth and modification coefficients.
In this formula, HPM coefficients are determined by Winterstein's analytical formula and related modification coefficients in the semi-analytical formula are fitted and validated based on long wind tunnel data of four building models.
The spur gear billet volumes with different gear teeth and various modification coefficients are obtained by using the reference circle method, average circle method and three-dimensional modeling method, respectively.
Zeynaliana et al. (2012) studied the lateral performance of K-braced cold-formed steel structures and their response modification coefficients, R factor.
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