書誌事項
- タイトル別名
-
- GENERAL SOLUTIONS OF SPHERICAL SHELL IN STATE OF FREE VIBRATIONS (2)
- 球殻振動時の一般解-2-
- キュウカラ シンドウジ ノ イッパンカイ 2
この論文をさがす
抄録
To calculate the frequencies of free vibrations is very bothersome, but from the characteristic values concerned with oscillatory solutions the character of oscillation, and insufficiency of many other approximation methods can be shown. If we set order of Legendre function as follows, [numerical formula] we can get the following three dimensional polynomial of λ from the expression of stress function. λ^3+{4+(1-ν^2)Ω^2}λ^2+k(1-Ω^2)λ+k{2+(1+3ν)Ω^2-(1-ν^2)Ω^4}=0 and from compensated solutions λ_4=-{2+2(1+ν)Ω^2} λ can be considered as characteristic value of free vibrations with parameters [numerical formula] 1) λ: plus real number monotoneous damping 2) λ: minus real number harmonic (non-damping) oscillation 3) λ: complex conjugate oscillatory damping It becomes apparent with these values λ_i that to neglect the inertia terms occured by displacements u, v, to approximate as inextentional or extentional vibrations are nonreasonable, and lowest frequency may be assumed as near value of Ω^2=1. Finally, we may find the approximation of solutions, with which we can calculate free vibration frequencies rather easily.
収録刊行物
-
- 日本建築学会論文報告集
-
日本建築学会論文報告集 84 (0), 22-29, 1963
一般社団法人 日本建築学会
- Tweet
詳細情報 詳細情報について
-
- CRID
- 1390282680545425024
-
- NII論文ID
- 110006158149
- 10003274587
-
- NII書誌ID
- AN0018882X
-
- ISSN
- 24330027
- 03871185
-
- NDL書誌ID
- 9157448
-
- 本文言語コード
- ja
-
- データソース種別
-
- JaLC
- NDL
- Crossref
- CiNii Articles
-
- 抄録ライセンスフラグ
- 使用不可