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Quantification of parallel vibration transmission paths in discretized systens

Inoue, Akira
http://rave.ohiolink.edu/etdc/view?acc_num=osu1167412835

Abstract Details

2007, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
Structure-borne noise in many practical systems is transmitted through multiple parallel paths that include machinery mounts, vibration isolators and structural connections. Dynamic design practice demands an unambiguous answer to the perennial question: Which paths are the most dominant? To address such issues, two vibration path rank ordering methods are first analytically examined by utilizing simplified discrete vibratory systems. One method is the indirect exact interfacial path force estimation procedure employed in the transfer path analysis. Alternate formulations of the interfacial path forces, based on free or blocked boundary conditions, are derived. The other method is path disconnect scheme that has been historically utilized in industry to empirically find a dominant or defective path. The analysis reveals some useful relations among the path measures and schemes. Next, structure-borne noise transfer paths are examined by conducting a laboratory experiment. Only the translational motions in the axial direction are considered. Two indirect estimation methods for dynamic path (interfacial) forces are first utilized to rank order paths from 100 to 2800 Hz. Then four alternate methods that estimate partial sound pressures are investigated. Path power quantifiers are further investigated, though some negative values are found. This experiment has demonstrated that an experimental study alone (without any rotational measurements) could lead to an ambiguous or inconsistent rank order in some cases. Indirect, yet exact, methods for estimating interfacial forces in a linear system are finally formulated by assuming that 6-dimensional motions at any response location are measurable. Errors committed by the missing dimensions are assessed via a discretized computational (finite element) model that is validated by modal experiments. The estimation process is examined for a source-path-receiver system that consists of a thick source plate (with few modes), three vibration paths (rods) and a compliant receiver plate (with many modes). Our indirect force estimation methods make use of only driving point responses with two alternate (stiffness and compliance) types of frequency response functions. One- and three-dimensional formulations are compared with the exact six-dimensional formulation in terms of interfacial force, dissipated power, and partial sound pressure spectra.
Rajendra Singh (Advisor)
199 p.
Engineering, Mechanical

Recommended Citations

Citations

  • Inoue, A. (2007). Quantification of parallel vibration transmission paths in discretized systens [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1167412835

    APA Style (7th edition)

  • Inoue, Akira. Quantification of parallel vibration transmission paths in discretized systens. 2007. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1167412835.

    MLA Style (8th edition)

  • Inoue, Akira. "Quantification of parallel vibration transmission paths in discretized systens." Doctoral dissertation, Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=osu1167412835

    Chicago Manual of Style (17th edition)

osu1167412835
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© 2006, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.