Design, Modeling, Analysis, Control and Testing of an Infinitely Variable Transmission

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Wang_umbc_0434D_11585.pdf (1.88 MB)

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http://hdl.handle.net/11603/15719

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UMBC Theses and Dissertations

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2016-01-01

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dissertations
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Mechanical Engineering

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Engineering, Mechanical

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Abstract

A novel infinitely variable transmission (IVT) based on scotch yoke systems is designed to provide a continuously varied output-to-input speed ratio from zero to a specified value, which can be widely used in wind turbine and vehicle applications. Its zero-speed-ratio-start-up feature and scalability are especially suitable for construction or agriculture vehicles. The IVT consists of a pair of noncircular gears and the main body including two modules: an input-control module and a motion conversion module; the speed ratio is changed in the motion conversion module with use of scotch yoke systems. The Lagrangian approach is used to develop its dynamic model that can be used to design a robust and efficient controller, and the steady-state solution of the IVT is obtained using the incremental harmonic balance (IHB) method. A modified IHB method is developed here to significantly increase the computational efficiency and reduce the derivation complexity comparing with the classic IHB method, where the residual is approximated by the fast Fourier transform, and Jacobian matrix is approximated by Broyden'smethod. A time-delay feedback controller combined with an open loop control is used for the IVT to stabilize the system and adjust its average input speed to a desired value for a vehicle application. Local stability of the system at the equilibrium can be proved by the stability of its linearized dynamic equation that is a time-delay linear time periodic (LTP) system, and its stability is numerically evaluated by converting the time-delay LTP system to a partial differential equation without time delay. A prototype of the IVT is manufactured and assembled. Functionality of the IVT is validated and parameter estimation is conducted for use in the design of the controller, and driving tests using feedback control are conducted to examine the performance of the controller.