By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits to establish the local
coordinate systems in the small tubular neighborhoods of the
heteroclinic orbits, we study the bifurcation problems of
nontwisted heteroclinic loop with resonant eigenvalues. The
existence, numbers, and existence regions of 1-heteroclinic loop,
1-homoclinic loop, 1-periodic orbit, 2-fold 1-periodic orbit, and two
1-periodic orbits are obtained. Meanwhile, we give the
corresponding bifurcation surfaces.
Applying the finite element method, the function of finite element analysis software AnsysWorkbench is powerful. Analysis 30 groups of different groove curvature radius coefficient model in extreme condition, obtained in applying extreme working conditions, stress and deformation data. Analysis results show that the inner groove curvature coefficient is 0.525, the outer ring raceway curvature coefficient of bearing is 0.52 when the slewing bearing shows maximum carrying capacity. Calculation, results provide analysis basis for slewing bearing design.
In this paper, we use the way of local coordinates instead of the Floquet method to study the problems of homoclinic and periodic orbits bifurcated from heteroclinic loop for high-dimensional system. Under some transversal conditions and the non-twisted or twisted conditions, we discuss the existence, uniqueness, coexistence, and non-coexistence of 1-periodic orbit, 1-homoclinic orbit, and 1-heteroclinic orbit near the heteroclinic loop. We get some general conclusions only under the basic hypotheses, and the other conclusions under the two hyperbolic ratios of the heteroclinic loop are greater than 1. Meanwhile, the bifurcation surfaces and existence regions are given.
Taking the type of a double-row tapered roller bearing of a high speed railway passenger coach as research object, the analysis for tapered roller with logarithmic profile has been done. Through the comparison of contact stresses at different crowning values by the finite element software has been done, the best crowning value has been got. There is a certain error between the theory of crowning value and the best crowning value by researching.
This paper compares the performance of the fabricated planet carrier and the integral planet carrier. By using the finite element analysis, the paper will found which planet carrier has the better performance in the same structure and load conditions. And draw the conclusions.
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