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Theoretical Study on Elastic Wave Propagation in Inhomogeneous Media.

Research Project

Project/Area Number 61550065
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 材料力学
Research InstitutionYamagata University

Principal Investigator

WATANABE Kazumi  Associate Professor, Faculty of Engineering, Yamagata University., 工学部, 助教授 (90091769)

Project Period (FY) 1986 – 1988
Project Status Completed (Fiscal Year 1988)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1988: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1987: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1986: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsElastic Wave / Wave Propagation / Inhomogeneous Media / Ray Method / Wave Energy / Contact Stress / Laminate Composites / Low Velocity Region / Variable Veolocity / 弾性体 / 波動 / 界面 / 典線法 / 波線 / 波面展開 / 多重尺度法
Research Abstract

It is the purpose of our study to analyze shutting of wave energy in low velocity zone in inhomogeneous elastic media. We planed the two steps; 1)develope the analytical method for shutting energy in low velocity zone and analyze its mechanism based on the theory of elastic waves. 2) clarify the effect of material property on the shutting energy. The results are summerized as follows; 1) analytical techniques are developed for the case of three waves, P, SV and SH-waves.
(1) Non-Steady Response for longitudinally Shear Force in Inhomogeneous Elastic Half Space(Ist Report; Long-Time solution, 2nd Report; Short-Time Solution). (2)Plane P and SV-Waves in Inhomogeneous Elastic Meria with Harmonic variation of Density. (3) Axial Shear Wave in Inhomogeneous Elastic Media. (3) Axial Shear Wave in Inhomogeneous Elastic Media. An application of the developed technique is made for (4) A Study on Timing Belt(Theoratical Analysis for Forced Transverse Vibration of Timing Belt with Parametric Excitation). (5) A Reciprocating Antiplane Shear Load with Harmonic Vibration on the surface of an Elastic Half Space.
The effect of material property is analyzed by using piecewise contineous elestic media. That is for laminate composites. (1) Dynamic Interfacial Stress in Bonded Two-Dissimilar Elastic Solids to a Moving Dislocation (lst Report; Steady-State Response to a Screw Dislocation, 2nd Report; Steady-State Response to a Edge Dislocation). (2) Transient Response of elastic Composites to an Interfacial Dislocation Moving along the Interface (lst Report; Antiplane Deformation, 2nd Report; Torsional Deformation).
All of the above papers have been published or have been submitted in the research journals. We shall continue and develope our research project hereafter, and wish to express thanks for the support of Grand-in-Aid for Scientific reseach, through the three years.

Report

(4 results)
  • 1988 Annual Research Report   Final Research Report Summary
  • 1987 Annual Research Report
  • 1986 Annual Research Report
  • Research Products

    (39 results)

All Other

All Publications (39 results)

  • [Publications] 渡辺一実、多田雅史、平野芳太郎: 日本機械学会論文集 A編. 54-498. 232-237 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 渡辺一実、多田雅史、平野芳太郎: 日本機械学会論文集 A編.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 渡辺一実、渡辺計彦、平野芳太郎: 日本機械学会論文集 A編.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kazumi Watanabe: JSME International. Paper.No.2006A.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kazumi Watanabe: Journal of Sound and Vibration. Paper.No.P/97/88.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Watanabe,K.;Koyama,T.;Nagai,K.;Kagotani,M.: Proceedings of the 5th International Conference on Power Transmission and Gears,Chicago,1989.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 渡辺一実、渡辺計彦、平野芳太郎: 日本機械学会第65期通常総会講演会 講構論 No.870-4. 40-41 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 渡辺一実: 日本機械学会東北支部米沢地方講演会 講構論No.881-2. 47-48 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 渡辺一実、小田明: 日本機械学会東北支部米沢地方講演会 講構論No.881-2. 49-50 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Tada, M.; Watanabe, K.; Hirono, Y.: "Non-Steady Response for Longitudinally Shear Force n Inhomogeneous Elastic Halr Space. (1st Report, Long-Time solution)." Trans. Japan Society of Mechanical Engineers.54-498. 232-237 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Tada, M.; Watanabe, K.; Hirono, Y.: "Non-Steady Response for Longitudinally Shear Force n Inhomogeneous Elastic Halr Space. (2nd Report, Short-Time Solution)." Trans. Japan Society of Mechanical Engineers. Paper No. 88-0145A.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Watanabe, K.; Watanabe, K.; HironoM, Y.: "Dynamic Interfacial Stress in Bonded Two-Dissimilar Elastic Solids to a Moving Dislocation. (2nd Report, Steady-State Response to an Edge Dislocation)." Trans. Japan Society of Mechanical Engineers. Paper No. 87-1116A.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kazumi Watanabe: "Plane P and SV-waves in Inhomogeneous Elastic Media with Harmonic Variation of Density." JSME International Paper No. 2006A.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kazumi Watanabe: "A Reciprocationg Antiplane Shear Load With Harmonic Vibration on the Surface of an Elastic Half Space." Journal of Sound and Vibration. Paper No. P/97/88.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Watanabe, K.; Koyama, T.; Kagotani, M.: "A study on Timing Belt(Theoretical Analysis for Forced Transverse Vibration of Timing Belt with Parametric Excitation)." Proceedings of the 5th International Conference on Power Transmission and Gears, Chicago, 1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Watanabe, K.; Watanabe, K.; Hirano, Y.: "Dynamic Interfacial Stress in Bonded Two-Dissimilar Elastic Solids to a Moveing Dislocation(1st Report, Steady-State Response to a Screw Dislocation)." Preprints of JSME 65th General Meeting.870-4. 40-41 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kazumi Watanabe: "Transient Response of Elastic composites to an Interfacial Dislocation Moving along the Interface(1st Report, Antiplane Deformation)." Preprints of JSME Yonezawa Meeting.881-2. 47-48 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Oda, A.; Watanabe, K.: "Transient Response of Elastic composites to an Interfacial Dislocation Moving along the Interface(2nd report, Torsional Defornmation)." Preprints of JSME Yonezawa Meeting.881-2. 49-50 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 渡辺一実、多田雅史、平野芳太郎: 日本機械学会論文集 A編. 54-498. 232-237 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] 渡辺一実、多田雅史、平野芳太郎: 日本機械学会論文集 A編paper No.88-0145A.

    • Related Report
      1988 Annual Research Report
  • [Publications] 渡辺一実、多田雅史、平野芳太郎: 日本機械学会論文集 A編paper No.87-1116.

    • Related Report
      1988 Annual Research Report
  • [Publications] Kazumi,Watanabe: JSME International.Paper.No.2006A.

    • Related Report
      1988 Annual Research Report
  • [Publications] Kazumi,Watanabe: Journal of Sound and Vibration.Paper.No.P/97/88.

    • Related Report
      1988 Annual Research Report
  • [Publications] Watanabe,K.;Koyama,T.;Nagai,K.;Kagotani,M.: Proceeding of the 5th International Conference on Power Transmission and Gears,Chicago,1989,.

    • Related Report
      1988 Annual Research Report
  • [Publications] 渡辺一実、渡辺計彦、平野芳太郎: 日本機械学会第65期通常総会講演会 機構論No.870-4. 40-41 (1987)

    • Related Report
      1988 Annual Research Report
  • [Publications] 渡辺一実: 日本機械学会東北支部米沢地方講演会 機構論No.881-2. 47-48 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] 渡辺一実、小田明: 日本機械学会東北支部米沢地方講演会 機構論No.881-2. 49-50 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] 渡辺 一実,多田 雅史,平野 芳太郎: 日本機械学会論文集(A編). 54-498. (1988)

    • Related Report
      1987 Annual Research Report
  • [Publications] 渡辺 一実,多田雅史,平野芳太郎: 日本機械学会論文集(A編).

    • Related Report
      1987 Annual Research Report
  • [Publications] 渡辺 一実,渡辺 計参,平野 芳太郎: 日本機械学会第65期通常総会講演会 機講論 NO,870-4. 40-41 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] 渡辺 一実,渡辺 計彦,平野 芳太郎: 日本機械学会論文集(A編).

    • Related Report
      1987 Annual Research Report
  • [Publications] Kazumi Watanabe: Fournal of Sound and Vibration.

    • Related Report
      1987 Annual Research Report
  • [Publications] Kazumi Watanabe: International Journal of Engineering Sciences.

    • Related Report
      1987 Annual Research Report
  • [Publications] 渡辺一実: 日本機械学会関西支部講演会. (1987)

    • Related Report
      1986 Annual Research Report
  • [Publications] 多田雅史: 日本機械学会論文集(A編).

    • Related Report
      1986 Annual Research Report
  • [Publications] 渡辺一実: International Journal of Engineering Science.

    • Related Report
      1986 Annual Research Report
  • [Publications] 渡辺一実: 日本機械学会機械力学講演会. (1987)

    • Related Report
      1986 Annual Research Report
  • [Publications] 渡辺一実: 日本機械学会材料力学講演会. (1987)

    • Related Report
      1986 Annual Research Report
  • [Publications] 渡辺一実: 日本機械学会東北支部仙台地方講演会. (1987)

    • Related Report
      1986 Annual Research Report

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Published: 1987-03-31   Modified: 2016-04-21  

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