{"title":"Singular Value Decomposition Based Optimisation of Design Parameters of a Gearbox","authors":"Mehmet Bozca","country":null,"institution":"","volume":103,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":1312,"pagesEnd":1317,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10002160","abstract":"Singular value decomposition based optimisation of\r\ngeometric design parameters of a 5-speed gearbox is studied. During\r\nthe optimisation, a four-degree-of freedom torsional vibration model\r\nof the pinion gear-wheel gear system is obtained and the minimum\r\nsingular value of the transfer matrix is considered as the objective\r\nfunctions. The computational cost of the associated singular value\r\nproblems is quite low for the objective function, because it is only\r\nnecessary to compute the largest and smallest singular values (\u03bcmax\r\nand \u03bcmin) that can be achieved by using selective eigenvalue solvers;\r\nthe other singular values are not needed. The design parameters are\r\noptimised under several constraints that include bending stress,\r\ncontact stress and constant distance between gear centres. Thus, by\r\noptimising the geometric parameters of the gearbox such as, the\r\nmodule, number of teeth and face width it is possible to obtain a\r\nlight-weight-gearbox structure. It is concluded that the all optimised\r\ngeometric design parameters also satisfy all constraints.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 103, 2015"}