本文係探討一含彈性凸緣體對稱疊層圓型板件在預拉伸力作用下由於側面壓所致之大撓曲問題,其掌控方程係以馮卡門大撓曲理論為基礎,且藉由無因次合併技巧,以推導其側向斜率與徑向力合之非線性聯立方程。為尋求線性解析解,其求解技巧則是在小撓曲考量下,忽略其非線性方程組之非線性項,以簡化為一線性問題及一表示為斜率之修正貝索方程。其表示為修正貝索函數之解析解則在考量凸緣體與環狀板介面連續性及板件之夾固邊界條件下推導而得。針對一擬單層且含淺凸緣體之件所得結果發現與文獻上單一平板件之解吻合,也驗證本文所提方法之正確性。研究重點 The problem of large deflection of a pre-stressed layered plate with an elastic boss due to lateral pressure is studied. The governing equations were developed based on von-Karman plate theory for large deflection, which are further formulated in terms of