{"id":{"repo_id":"ohiolink","oai_identifier":"oai:etd.ohiolink.edu:osu1365609506"},"canonical_url":"https://search.dev.ndltd.org/etd/ohiolink/oai:etd.ohiolink.edu:osu1365609506","repository":{"repo_id":"ohiolink","name":"OhioLINK","base_url":"https://etd.ohiolink.edu/acprod/odb_etd/ws/oai/oai"},"display":{"title":"An Investigation into the Impact of Random Spacing Errors on Static Transmission Error and Root Stresses of Spur Gear Pairs","abstract":"In this study, theoretical and experimental investigations of the effect of tooth spacing errors on the motion transmission error and root stresses of spur gear pairs are performed. A test setup with dedicated instrumentation for the measurement of the static transmission error and root stresses is devised. A number of experiments are performed with gears having deterministic spacing errors (at one or two teeth only) and random spacing errors (all teeth having a random distribution of errors as in a typical production gear). A test matrix defined by a range of torque at a very low speed is executed with each error configuration to experimentally quantify the influence of spacing errors on the static transmission error and the gear tooth root stresses. The results of these experiments form an extensive database on the impact of spacing errors on the static transmission error (a typical noise metric) and the root stresses (a durability metric). These experiments are simulated by using two existing gear contact models to demonstrate their accuracy and describe the empirical trends physically. A methodology is proposed at the end to relate increases in root stresses to the spacing error magnitudes directly. Closed-form expressions resulting from this methodology allow determination of the stress amplification factors due to a certain range of spacing error tolerances as well as quantifying how much spacing error can be tolerated within a user defined stress limit.","abstract_html":"In this study, theoretical and experimental investigations of the effect of tooth spacing errors on the motion transmission error and root stresses of spur gear pairs are performed. A test setup with dedicated instrumentation for the measurement of the static transmission error and root stresses is devised. A number of experiments are performed with gears having deterministic spacing errors (at one or two teeth only) and random spacing errors (all teeth having a random distribution of errors as in a typical production gear). A test matrix defined by a range of torque at a very low speed is executed with each error configuration to experimentally quantify the influence of spacing errors on the static transmission error and the gear tooth root stresses. The results of these experiments form an extensive database on the impact of spacing errors on the static transmission error (a typical noise metric) and the root stresses (a durability metric). These experiments are simulated by using two existing gear contact models to demonstrate their accuracy and describe the empirical trends physically. A methodology is proposed at the end to relate increases in root stresses to the spacing error magnitudes directly. Closed-form expressions resulting from this methodology allow determination of the stress amplification factors due to a certain range of spacing error tolerances as well as quantifying how much spacing error can be tolerated within a user defined stress limit.","abstract_has_math":false,"creators":["Handschuh, Michael James"],"institution":"The Ohio State University","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Kahraman, Ahmet"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-07-23","date_published":"2013-07-23","updated_at":"2026-07-24T03:37:31Z","subjects":["Mechanical Engineering","Transmission error","root stress","spur gear","spacing error"],"languages":["English"],"rights":["unrestricted","This thesis or dissertation is protected by copyright: all rights reserved. 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A test matrix defined by a range of torque at a very low speed is executed with each error configuration to experimentally quantify the influence of spacing errors on the static transmission error and the gear tooth root stresses. The results of these experiments form an extensive database on the impact of spacing errors on the static transmission error (a typical noise metric) and the root stresses (a durability metric). These experiments are simulated by using two existing gear contact models to demonstrate their accuracy and describe the empirical trends physically. A methodology is proposed at the end to relate increases in root stresses to the spacing error magnitudes directly. Closed-form expressions resulting from this methodology allow determination of the stress amplification factors due to a certain range of spacing error tolerances as well as quantifying how much spacing error can be tolerated within a user defined stress limit."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf","p.140","3.58 MB"]},{"key":"dc:title","label":"Title","values":["An Investigation into the Impact of Random Spacing Errors on Static Transmission Error and Root Stresses of Spur Gear Pairs"]}]}],"canonical_facts":{"dc:contributor":["Kahraman, Ahmet"],"dc:creator":["Handschuh, Michael James"],"dc:date":["2013-07-23"],"dc:description":["In this study, theoretical and experimental investigations of the effect of tooth spacing errors on the motion transmission error and root stresses of spur gear pairs are performed. A test setup with dedicated instrumentation for the measurement of the static transmission error and root stresses is devised. A number of experiments are performed with gears having deterministic spacing errors (at one or two teeth only) and random spacing errors (all teeth having a random distribution of errors as in a typical production gear). A test matrix defined by a range of torque at a very low speed is executed with each error configuration to experimentally quantify the influence of spacing errors on the static transmission error and the gear tooth root stresses. The results of these experiments form an extensive database on the impact of spacing errors on the static transmission error (a typical noise metric) and the root stresses (a durability metric). These experiments are simulated by using two existing gear contact models to demonstrate their accuracy and describe the empirical trends physically. A methodology is proposed at the end to relate increases in root stresses to the spacing error magnitudes directly. 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