Application of the spline prism method to analyse vibration of thick circular cylindrical panels

Mizusawa, T.; Kato, Takeru

doi:10.1016/0020-7683(95)00086-0

“…The results firom the dynamic model are transformed by point inversion [82] or modal analysis [48], However, the use of two geometric descriptions does not easily allow the shape of the virtual object to be represented using a traditional basis such as the B-spline or NURBS [2], Recent work has developed physically based models using finite element techniques but using the B-spline basis in place of the traditional interpolation shape fimctions [30]. The use of the B-spline basis has been explored by the finite element community for modeling onedimensional and two-dimensional time dependent problems [104], vibration of thick circular cylindrical panels [76], undular bore [35] and the non-linear Schrodinger equation [34]. This work has shown that the B-spline basis can be used effectively as a set of shape fimctions in FEA.…”

Section: Chapter 2 Literature Reviewmentioning

confidence: 99%

Interactive synthetic environments with force feedback

¹

View full text Add to dashboard Cite

I would like to begin by thanking Greg Luecke for his continued support of this work. As I think back, it is doubtfiil that I would have pursued an advanced degree if I had not met Dr. Luecke. I would also like to express my appreciation to the members of my program of study committee, Judy Vance, Jim Oliver, Alison Flatau and Julie Dickerson. I would especially like to thank Dr. Oliver and Dr. Flatau for serving double duty on both my doctor of philosophy and master of science committees. In addition, I would like to thank the staff of the Department of Mechanical Engineering and the Iowa Center for Emerging Manufacturing Technology, especially Rosalie Enfield and M Shannon, for answering my numerous questions and handling the paper work associated with my research and studies. Role of my parents, Rob and Susan, and my in-laws, Pat and Colette, have been extremely important. They aU have supported my studies both emotionally and financially. Finally I would have to thank by wife, Trisha, for supporting me through out my education. I hope that I have been as supportive of her education as she has mine.

show abstract

“…The results firom the dynamic model are transformed by point inversion [82] or modal analysis [48], However, the use of two geometric descriptions does not easily allow the shape of the virtual object to be represented using a traditional basis such as the B-spline or NURBS [2], Recent work has developed physically based models using finite element techniques but using the B-spline basis in place of the traditional interpolation shape fimctions [30]. The use of the B-spline basis has been explored by the finite element community for modeling onedimensional and two-dimensional time dependent problems [104], vibration of thick circular cylindrical panels [76], undular bore [35] and the non-linear Schrodinger equation [34]. This work has shown that the B-spline basis can be used effectively as a set of shape fimctions in FEA.…”

mentioning

confidence: 99%

Interactive synthetic environments with force feedback

¹

View full text Add to dashboard Cite

This manuscript has been reproduced from the microfilm master. UME films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter fece, while others may be from any type of computer printer.The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper alignment can adversely affect reproduction.In the unlikely event that the author did not send UME a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion.Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper left-hand comer and continuing from left to right in equal sections with small overlaps. Each original is also photographed in one exposure and is included in reduced form at the back of the book.

show abstract