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論文
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樫本, 弘 ; 長屋, 幸助 ; 白石, 明男
概要:
application/pdf<br />Journal Article<br />This paper proposes a method for obtaining stresses in a rod with arbitrary cross section. The rod consists of two infinite straight portions and one two-dimensional curved portion in which
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the cross section varies. A twisting wave propagates from one of the two infinite straight portions to the other via the curved portion. In this analysis, fundamental equations were extended in order to apply them to the non-circular cross section by using the Fourier expansion collocation procedure, and the transfer matrix was derived. At connecting sections, solutions of curved portion and those of straight portions have been connected. Then it is possible to obtain the principal stress and the principal shearing stress at any location.
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| 2.
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論文
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Kashimoto, Hiroshi ; Nagaya, Kosuke ; Shiraishi, Akio
概要:
application/pdf<br />Journal Article<br />This paper presents a method for solving the dynamic stress concentration problem of inhomogeneous rods having two-dimensional arbitrary curvature, variable cross section and infinite length
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subjected to in-plane bending wave excitation. In this analysis, the exact solution of the equilibrium equations for curved rods has been obtained, and the transfer matrix, based on the exact solutions with consideration of the inertia forces has been derived. At discontinuous sections, solutions of curved and straight rods have been connected by adjusting the boundary conditions. As examples, stress concentration factors in circular, elliptical and parabolic arc rods with variable cross sections have been calculated.
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| 3.
論文 |
論文
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樫本, 弘 ; 長屋, 幸助 ; 白石, 明男
概要:
application/pdf<br />Journal Article<br />An analysis is presented for the dynamic stress concentration problem of an infinite inhomogeneous rod having a discontinuity of the curved portion in which the radius of cross sections varies
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continuously. The rod treated in this study consists of two infinitely straight portions and one finite curved portion of arbitrary curvature. The curved portion lies between the two straight portions. The twisting wave propagates from one of the infinite straight portions to the other, passing through the curved portion. The exact solution for the equilibrium equations for a curved rod has been obtained. The transfer matrix has been derived based on the exact solution and upon considering the internal forces and moments. At discontinuous sections, solutions of curved and straight rods have been connected by adjusting the boundary conditions. As examples, stress concentration factors in circular, elliptical and parabolic arc rods have been obtained.
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| 4.
論文 |
論文
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樫本, 弘 ; 長屋, 幸助 ; 白石, 明男
概要:
application/pdf<br />Journal Article<br />This paper presents a method for solving the dynamic stress concentration of inhomogeneous rods having two-dimensional arbitrary curvature, variable cross section and infinite length
…
subjected to in-plane bending wave excitation. In this analysis, the exact solution of the equilibrium equations for curved rods has been obtained, and the transfer matrix, based on the exact solutions with consideration of the inertial forces has been derived. At discontinuous sections, solutions of curved and straight rods have been connected by adjusting the boundary conditions. As examples, stress concentration factors in circular, elliptical and parabolic rods with variable cross sections have been calculated.
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| 5.
論文 |
論文
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樫本, 弘 ; 長屋, 幸助 ; 白石, 明男
概要:
application/pdf<br />Journal Article<br />This paper presents a method for solving the dynamic stress concentration of two-dimensional curved rods with circular cross section and infinite length subjected to in-plane bending wave
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excitation. In this analysis, the exact solution of the equilibrium equations for curved rods has been obtained, and the transfer matrix, based on the exact solutions with consideration of the inertia forces has been derived. At discontinuous sections, solutions of curved and straight rods have been connected by adjusting the boundary conditions. As examples, stress concentration factors in circular, elliptical and parabolic rods with circular cross sections have been calculated.
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