The well established practice of applying tip and/or root relief to the teeth of low contact ratio spur gears is reviewed. Results are presented for the experimental validation of a systematic design method for profile relief that depends critically on how far the relief extends along the path of contact. This method has proved to be effective in controlling gear vibration and noise. A good correlation between static transmission error, dynamic transmission error and sound pressure level was found. This allows design rules to be formulated which can be applied to achieve the minimum vibration and noise levels at a given operating load. A computer program was also developed that allows the introduction of measured gear tooth profiles from an involute tester, to predict the static transmission error curves and thus give an indication of gear quality as regards vibration and noise levels for any given simulated operating load or load range. The computer program was extended to take into consideration the more complex geometry of helical gears using the 'Thin Slice' theory. This allows the prediction of the effects of lead crowning, misalignment, pitch errors and various profile reliefs including relief coined "cross relief", where the relief is applied parallel to the base helix angle. An optimisation routine was included in the computer program that systematically varies the extent of profile relief and amount of lead crowning to minimise transmission error. Since the amount of required profile relief is concomitant with extent of relief and amount of lead crowning (load remaining constant), the program iterates to find the correct amount of profile relief to avoid undesirable comer/tip contact. This new approach has facilitated the generalisation of the effects of profile relief on transmission error for a whole range of typical axial and transverse contact ratios for narrow face width helical gears, previous analyses concentrating on specific designs. Results are also presented for the experimental validation of predicted static transmission error in helical gears. A good correlation between static transmission error, dynamic transmission error and sound pressure level was found as in the spur gear analysis.

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Thesis (M.S.)--Ohio State University, 1989. / Includes bibliographical references. Available online via OhioLINK's ETD Center

Thesis (M.S.)--Virginia Polytechnic Institute, 1954. / Vita. Includes bibliographical references (leaf 82). Also available via the Internet.

Thesis (M.S.)--Brigham Young University. Dept. of Mechanical Engineering, 2007. / Includes bibliographical references (p. 95-96).

Thesis (M.S.) -- Ohio State University, 2005. / Includes bibliographical references (leaves 117-120). Available online via OhioLINK's ETD Center

Thesis (M.S.)--University of Wisconsin--Madison, 1983. / Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 124-126).

Thesis (M.S.)--Ohio State University, 1986. / Includes bibliographical references (leaves 139-141).

Hypocyclic mechanisms are the basic building blocks in the design of many widely used mechanical systems such as gear differentials, computing devices and other useful instruments. This paper presents a unique variation to the conventional hypocyclic system configuration in that the rotating elements are spring constrained instead of rigid arm constrained. A mathematical model was develop to simulate the operational characteristics of the mechanism. The model was coded in Fortran IV computer language and a simulation survey was conducted for a set of geometrical and system constraints. The results of this survey indicate that the mathematical model could be a useful tool in the parametric study and possible design and application of a spring constrained hypocyclic roller mechanism.