Bir elastodinamik problemin sınır eleman yöntemi ile çözümü
Başlık çevirisi mevcut değil.
- Tez No: 55594
- Danışmanlar: DOÇ.DR. NECLA KADIOĞLU
- Tez Türü: Yüksek Lisans
- Konular: İnşaat Mühendisliği, Civil Engineering
- Anahtar Kelimeler: Elastodinamik problemler, Sınır elemanlar yöntemi, Elastodynamic problems, Boundary element method
- Yıl: 1996
- Dil: Türkçe
- Üniversite: İstanbul Teknik Üniversitesi
- Enstitü: Fen Bilimleri Enstitüsü
- Ana Bilim Dalı: Belirtilmemiş.
- Bilim Dalı: Belirtilmemiş.
- Sayfa Sayısı: Belirtilmemiş.
Özet
Özet yok.
Özet (Çeviri)
As we said before the boundary element method has been used. The boundary has been divided parts. Their end points are nodal points. The unknowns of the problem are the nodal displacements and stresses. But their values vary with time. The boundary of the problem also varies with time. This variation has been examined to solve the problem. Unknowns are the displacements and the surface tractions. But they are not constant at any spesific point. The variation with time also considered. Xllvk(*,y\g(t)) = ^- J, yjcfl2~R2 dz - 3 \u-g<J-u)du r Jo - \u-g(t-u)du“M r I ?yjC?t2-R2 dz ~r\u-g(t-u)du+-j-1-g(t-~) ~5 J r3Cf C{ r -Po -Jc%t2-R2 dz \u-g(t- u)du + -^-y g(t - -^-) r C2 rJC4 '[****] Aöik] 11 ?J(%t2-R2 1 rCİ 2g(t-~) (4) Betti- Rayleigh theorem presents an integral equation between two different elastodinamic states which are defined in the same region. Therefore using this teorem we get the integral equation for our problem as follow. pvk(y,t)= \*Hx>y\ui(x>t))ds- \uf (x,y\T,(x,t))ds (5) In this problem plain strain case has been considered. Both stresses and displacements are the function of the time and the coordinates xt (i = 1,2).As we said before the boundary element method has been used. The boundary has been divided parts. Their end points are nodal points. The unknowns of the problem are the nodal displacements and stresses. But their values vary with time. The boundary of the problem also varies with time. This variation has been examined to solve the problem. Unknowns are the displacements and the surface tractions. But they are not constant at any spesific point. The variation with time also considered. Xllvk(*,y\g(t)) = ^- J, yjcfl2~R2 dz - 3 \u-g<J-u)du r Jo - \u-g(t-u)du ”M r I ?yjC?t2-R2 dz ~r\u-g(t-u)du+-j-1-g(t-~) ~5 J r3Cf C{ r -Po -Jc%t2-R2 dz \u-g(t- u)du + -^-y g(t - -^-) r C2 rJC4 '[****] Aöik] 11 ?J(%t2-R2 1 rCİ 2g(t-~) (4) Betti- Rayleigh theorem presents an integral equation between two different elastodinamic states which are defined in the same region. Therefore using this teorem we get the integral equation for our problem as follow. pvk(y,t)= \*Hx>y\ui(x>t))ds- \uf (x,y\T,(x,t))ds (5) In this problem plain strain case has been considered. Both stresses and displacements are the function of the time and the coordinates xt (i = 1,2).As we said before the boundary element method has been used. The boundary has been divided parts. Their end points are nodal points. The unknowns of the problem are the nodal displacements and stresses. But their values vary with time. The boundary of the problem also varies with time. This variation has been examined to solve the problem. Unknowns are the displacements and the surface tractions. But they are not constant at any spesific point. The variation with time also considered. Xll
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