河南科学
河南科學
하남과학
Henan Science
2015年
10期
1789-1793
,共5页
弹性地基梁%直接刚度%固端剪力%固端弯矩
彈性地基樑%直接剛度%固耑剪力%固耑彎矩
탄성지기량%직접강도%고단전력%고단만구
elastic foundation beam%direct rigidity%fixed end shear force%fixed end moment
将地基梁单元细分,由弹性力学中的地基沉陷公式求得与细分后梁单元结点相对应的地基柔度矩阵,对柔度矩阵求逆得到地基刚度矩阵以形成总刚度矩阵;由梯形分布荷载作用下的梁单元固端剪力系数矩阵,建立由结点处地基集中反力求地基分布反力的关系式,形成考虑固端内力的半解析弹性地基上地基梁内力求解方法;开发程序并进行计算;结果表明,与不考虑固端内力的方法相比,该方法可修正剪力不连续的错误,并且更符合实际情况.
將地基樑單元細分,由彈性力學中的地基沉陷公式求得與細分後樑單元結點相對應的地基柔度矩陣,對柔度矩陣求逆得到地基剛度矩陣以形成總剛度矩陣;由梯形分佈荷載作用下的樑單元固耑剪力繫數矩陣,建立由結點處地基集中反力求地基分佈反力的關繫式,形成攷慮固耑內力的半解析彈性地基上地基樑內力求解方法;開髮程序併進行計算;結果錶明,與不攷慮固耑內力的方法相比,該方法可脩正剪力不連續的錯誤,併且更符閤實際情況.
장지기량단원세분,유탄성역학중적지기침함공식구득여세분후량단원결점상대응적지기유도구진,대유도구진구역득도지기강도구진이형성총강도구진;유제형분포하재작용하적량단원고단전력계수구진,건립유결점처지기집중반력구지기분포반력적관계식,형성고필고단내력적반해석탄성지기상지기량내력구해방법;개발정서병진행계산;결과표명,여불고필고단내력적방법상비,해방법가수정전력불련속적착오,병차경부합실제정황.
Foundation beam elements were subdivided. The foundation flexibility matrix corresponded to subdivided beam element nodes were obtained by foundation settlement formula in elastic mechanic. The stiffness matrix was obtained by inversing the flexibility matrix,in order to obtain the total stiffness matrix. Relationship between distributed foundation reaction force and concentrated reaction force was developed by coefficient matrix of shear force at fixed end of beam under trapezoidal distributed load,and semi-analytical method for foundation beam on elastic foundations considering fixed end internal force was established. Program was developed and calculation was conducted. The result showed that,comparing to the method without considering fixed end internal force,this method could amend the error that the shear force was not continuous,and could correspond more to reality.