@article{oai:kitami-it.repo.nii.ac.jp:00006301,
 author = {佐渡, 公明 and 能町, 純雄},
 issue = {2},
 journal = {北見工業大学研究報告},
 month = {Jun},
 note = {application/pdf, For calculating the natural frequency of a structure，it is convenient to substitute a discrete vibration model for the structure under consideration. The object of this paper is first to show the accuracy of the natural frequency for a straight beam， when the three-stress equation is taken as flexibility of the discrete vibration model. Secondly the coupled vibration of the beam is also treated by the same method. The three-stress equation coincides with the three-moment equation for the bending vibration and with the compatibility equation of the rotational angle for the torsion bending vibration. The bending moment M_r and the deflection y_r on the nodal point r are unknown values for the　bending vibration，and the　torsion bending moment B_r and the rotational angle θ_r are for the torsion bending vibration. The equilibrium equation of the shearing force and the torsion bending moment at r，and two three-stress equations in which the inertia force and the inertia torque are put as equivalent concentrated ones at the node are corresponding to the four unknown values y_r，θ_r, M_r and B_r，thus the natural frequency can be found from the matrix of the coefficients. Numerical results are as follows : 　　(1)The method of the three-stress equation gives more accurate value than the method of the finite difference equation for M＝?Eiy^^・・ or B＝?EC_wθ^^・・.　　(2)When the radius of curvature R increases in the curved beam， the effect of the bending vibration increases and that of the torsion bending one inversely decreases},
 pages = {475--491},
 title = {３連応力式をフレキシビリティとするディスクリートな振動モデルについて},
 volume = {3},
 year = {1972}
}