Efficient Computational Techniques for Planetary Gear Train Analysis
We propose a novel analysis tool for planetary gear train representation. This extends the traditional concept of a lever representation of a planetary gear set to one that includes negative lever ratios. The resulting framework allows an exhaustive permutation of the nodes of a lever, thereby leading to all possible topological arrangements of a planetary gear train. Consequently, we achieve compact representations of large families of planetary gear trains, which would otherwise have to be dealt with on a case-by-case basis.
A basis for the computer-aided design of the topological structure of planetary gear trains
Abstract The design of the optimal topology of transmission systems based on planetary gear trains (PGTs) has become one of the most important problems for the development of many multi-source power systems, such as hybrid electric vehicles (HEVs). However, due to the lack of a method for large-scale scheme design and comparison, the form of manual design often faces heavy workloads and a risk of missing the optimal topology. At present, computer identification and automatic calculation of dynamic parameters for multi-input and multi-DOF structures under different working states remains the key objective of large-scale computing and computer-based optimalization design. To solve these problems, this paper modularizes the topological structures of PGTs and proposes two algorithms based on the connectivity of connected graphs for the first time: the reverse search algorithm and the forward-backtrack algorithm. The results show that the proposed method can not only enable a computer to effectively identify the components of a structure under different working modes but can also automatically obtain the dynamic parameters, transmission efficiency, power flow and recirculating power, thus providing a basis for calculating the optimal topological structure in large-scale design schemes.
A Phenomenological Study of the Wind Band Experience: Stories of Band
A PHENOMENOLOGICAL STUDY OF THE WIND BAND EXPERIENCE: