@article{oai:kanazawa-u.repo.nii.ac.jp:00011767, author = {Kinai, Bin and Yoshida, Hiroshi and Nishida, Susumu and 喜内, 敏 and 吉田, 博 and 西田, 進}, issue = {1}, journal = {金沢大学工学部紀要 = Memoirs of the Faculty of Technology Kanazawa University}, month = {Mar}, note = {A study of free vibration of elastic parabolic and circular arches is presented using the transfer matrix method. The arch will be replaced with polygonal structure consisting of lumped masses and straight bars. The masses are connected with massless bars with only rigidity. Using the transfer matrix method, the frequency equation is obtained and then the eigenfunction is determined.  The relationship among slenderness ratios, natural frequencies and modes will be studied for fixed, 1-hinged, 2-hinged and 3-hinged arches. The results also include tables of natural frequencies for parabolic and circular arches.}, pages = {1--10}, title = {アーチ構造物の自由振動}, volume = {8}, year = {1974} }