Can We Study Cars with V2 Rolling Resistance Terms?
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1979-02-01
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Edition:Informal Note 12
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Abstract:Because the rolling behavior of a car with a V2 term is described by a non-linear differential equation, it had been assumed that no closed-form solution existed and that we would have to use a numerical integration procedure (e.g. Runge-Kutta) to solve the associated differential equation. Using a closed-form solution in PROFILE and SPEEDCON allows them to be an order of magnitude faster in running time as compared to using a numerical integration procedure. However, it now appears that even with a V2 term, there does exist a closed-form solution for the associated differential equation. The derivation of velocity and position as a function of time is the focus of this Informal Note.
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Main Document Checksum:urn:sha-512:c2a17a2139494f0b6ed6bd7b61072a37421681c0ef2e8364c0c46858062a2b0b8236bdf5dc436992dc4a87ec215f8f5a8bb4110827c463407f257753049b8bdc
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