Applications of the Rigid Body Rule and Force Equilibrium to Geometric Nonlinear Theory of Thick Shells

瀏覽統計 Email 通知 RSS Feed

簡歷

基本資料

Project title

Code/計畫編號

MOST104-2221-E019-029

Translated Name/計畫中文名

應用剛體運動及力平衡在厚殼幾何非線性理論之研究

Project Coordinator/計畫主持人

Shyh-Rong Kuo

Funding Organization/主管機關

National Science and Technology Council

Co-Investigator(s)/共同執行人

姚忠達

Department/Unit

Department of Harbor and River Engineering

Website

https://www.grb.gov.tw/search/planDetail?id=11565686

Year

2015

Start date/計畫起

01-08-2015

Expected Completion/計畫迄

31-07-2016

Bugetid/研究經費

669千元

ResearchField/研究領域

土木水利工程

本文主要是建立曲殼哈密頓架構的形式，其方法為應用剛體運動法則及力平衡此二項基本的力學原理，推導厚殼結構的線性以及幾何非線性理論，包含應變表示式、(增量)力平衡方程及(增量)截面力組成律，首先由剛體運動法則直接求得考量幾何非線性效應之厚殼組成律，接著建立在狀態變形位置的增量力平衡方程式，將應變表示式、截面力組成律及截面力平衡方程以矩陣的形式表示並進一步合併整理推導曲殼幾何非線性哈密頓架構，本文最後由軸對稱曲殼的幾何特性，推導軸對稱曲殼哈密頓架構，並應用傳接矩陣及勁度矩陣的轉換關係，建立軸對稱曲殼勁度矩陣及應用有限元素法進行數值分析。 This study aims to use the rigid-body motion rule and the force equilibrium to establish the Hamiltonian framework of the curved shell and derive the linear and geometrically nonlinear theorem including the (incremental) force equilibrium equation and the (incremental) constitution. First, we derive the curve shell constitutive law from the rigid-body motion rule which considers the effect of geometrically nonlinear, and we establish the incremental force equilibrium equation of the stage deformed condition. We represent the strain expression, cross section constitutive law and force equilibrium equation of the cross section by matrix form and derive the curved shell geometrically nonlinear Hamiltonian framework. Finally, we use the geometrical characteristics of axially symmetric curved shell to derive the Hamiltonian framework of the axially symmetric curved shell. By using the transform relationship between the transfer matrix and the stiffness matrix, we establish the stiffness matrix of axially symmetric curved shell and also conduct the numerical analysis by FEM.

Keyword(s)

幾何非線性虛應變能
剛體運動法則
變形狀態力平衡方程式
組成律
厚殼
虛功法
geometric nonlinear strain energy
rigid body motion rule
force equilibrium
constitutive law
thick shell
virtual work method

DSpace CRIS

Applications of the Rigid Body Rule and Force Equilibrium to Geometric Nonlinear Theory of Thick Shells

基本資料

Description