摘要
回字形截面梁是本科力学课程教学中常见的一种梁结构,本文提出一种适用于回字形截面的翘曲形状函数,基于此,建立了适用于回字形截面梁的高阶剪切变形梁模型。所提理论同时考虑了横截面剪切变形和转动惯量的影响,且不需引入剪切修正系数,对于回字形截面梁的动静态力学行为计算精度高。同时,计算过程简单,易于工程应用,可以作为材料力学、弹性力学和有限元法课程教学实例,也可基于所提理论发展新的一维高精度有限元梁模型。
Box beam is a common beam structure in undergraduate mechanics teaching.A warping shape function suitable for box beam section was proposed.Based on the new warping shape function,a high-order shear deformation beam theory suitable for box beams was developed.The proposed theory considers the influence of shear deformation and moment of inertia simultaneously,and no shear correction factor needs to be introduced.Therefore,it owns high accuracy for dynamic and static mechanical behavior.Furthermore,the proposed theory possesses a simple calculation procedure and is easy to be applied in engineering,which can be used as a teaching example of mechanics of materials,elasticity mechanics and finite element method,and can also be utilized to develop a novel one-dimensional high-precision finite element beam model.
作者
马维力
崔辉如
商泽进
王慧
李道奎
李显方
王诗琦
苗鹤洋
MA Weili;CUI Huiru;SHANG Zejin;WANG Hui;LI Daokui;LI Xianfang;WANG Shiqi;MIAO Heyang(School of Science,Chang’an University,Xi’an 710061,China;College of Defense Engineering,Army Engineering University,Nanjing 210007,China;College of Aerospace and Science,National University of Defense Technology,Changsha 410073,China;School of Civil Engineering,Central South University,Changsha 410075,China;College of missile engineering,Rocket Force University of Engineering,Xi’an 710000,China)
出处
《力学与实践》
北大核心
2023年第3期592-598,共7页
Mechanics in Engineering
基金
中国交通教育研究会教育科学研究重点课题(JTZD20-20)
长安大学教育教学改革研究资助项目(201905,300103131006)
中央高校基本科研业务费(300102122103)
陕西省高等教育学会高等教育科学研究项目(XGH21073)
大学生创新训练项目(S202210710280)资助。
关键词
回字形截面梁
翘曲形状函数
高阶剪切变形梁模型
弯曲
振动
box beams
warping shape function
higher-order shear deformation beam model
bending
vibration
