龙驭球
结构力学、壳体结构与有限元
个性化签名
- 姓名:龙驭球
- 目前身份:
- 担任导师情况:
- 学位:
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学术头衔:
博士生导师,
- 职称:-
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学科领域:
土木建筑结构
- 研究兴趣:结构力学、壳体结构与有限元
龙驭球,1948年毕业于清华大学土木系。毕业后留校工作至今,从事结构力学、壳体结构与有限元的教学科研工作。1978年任教授,1984年为结构工程博士生导师,1995年当选为中国工程院院士。任中国土木工程学会第四届理事,国家教育部高等学校工科力学课程指导委员会主任委员,中国力学学会“工程力学”学报主编和名誉主编,国际杂志《Advances in Structural Engineering》和《International Journal of Structural Stability and Dynamics》国际编委,1999年国际结构工程会议主席。出版《结构力学》、《新型有限元论》等著作21本。参加制订“薄壳结构设计规程”。发表学术论文200多篇,首创广义协调元、分区混合元、四边形面积坐标理论等6项成果。共获国家级和省部级奖20项,近5年获奖6项――中国工程科技奖、国家科技进步奖、国家级教学成果奖,全国优秀博士学位论文指导教师奖各1项,教育部奖2项。
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3646
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472
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成果数
10
龙驭球, 罗建辉, 岑松, 龙志飞
,-0001,():
-1年11月30日
将哈密顿求解体系推广应用于Reissner-Mindlin厚板问题。首先导出了厚板哈密顿对偶微分方程,然后采用换元乘子法导出了厚板哈密顿变分原理的泛函表示式,最后提出并证明了厚板理论的两个正交关系。厚板哈密顿体系的理论成果将为研究厚板解析解和有限元解提供新的有效工具。
哈密顿求解体系, Reissner-Mindlin 厚板理论, 对偶方程, 变分原理, 正交关系
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【期刊论文】Membrane elements insensitive to distortion using the quadrilateral area coordinate method
龙驭球, Xiao-Ming Chen a, Song Cen b, *, Yu-Qiu Long a, Zhen-Han Yao b
Computers and Structures 82(2004)35-54,-0001,():
-1年11月30日
Two 4-node quadrilateral membrane elements, denoted as AGQ6-I and AGQ6-II, have been developed in this paper. Instead of the traditional isoparametric coordinate, the quadrilateral area coordinates were used to establish the formulations of the new elements. And several generalized conforming conditions were then introduced to determine all unknown parameters. Numerical examples showed that the presented elements exhibit excellent performances in both regular and distorted mesh divisions. They could even yield exact solutions for pure bending problems under distorted meshes and provide lock-free solutions for the MacNeal's test problem of trapezoidal locking. Besides, the weak patch test was conducted to guarantee the convergence of both new elements. It has also been demonstrated that the area coordinate method is an efficient tool for developing simple, effective and reliable serendipity plane membrane elements.
Finite element, Quadrilateral area coordinates, Mesh distortion, 4-node quadrilateral element, AGQ6-I, AGQ6-Ⅱ
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【期刊论文】THE EXPRESSION OF STRESS AND STRAIN AT THE TIP OF THREE-DIMENSIONAL NOTCH
龙驭球, Qian Jun, Long Yu-qiu
Applied Mathematics and Mechanics (English Edition. Vol. 5. No.3. Mar. 1994),-0001,():
-1年11月30日
The singularity of stress and strain at the tip of three-dintensional notch is analysed by the power expansion method. The eigenequation of the notch is gained through the boundary conditions of the notch, the eigenvalues under different inner angles of the notch are obtained. the expression of stress at the tip of the notch is finally derived.
three-dimensional notch., Singularity., Fields of stress and strain
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龙驭球, 傅向荣
ENGINEERING MECHANICS, 2001, (6): 40~46,-0001,():
-1年11月30日
基于分区混合能量原理的分区混合元法是一种高精度有限元方法,可用于分析含裂纹、孔洞、切口等缺陷的问题。本文推导了分区混合元法中应力元的刚度矩阵;分析了应力元的多余零能模式,并证明了整体分析中对多余零能模式的消弭;文中还对分区混合元法中应力元的应力项数与应力单元尺寸对分析结果的影响进行了系统的讨论。
分区混合能量原理, 分区混合元法, 多余零能模式, 应力强度因子
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49浏览
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龙驭球, Song Cen a, Yuqiu Long b, Zhenhan Yao a, *
Computers and Structures 80(2002)819-833,-0001,():
-1年11月30日
A simple displacement-based, quadrilateral 20 DOF(5 DOFper node) bending element based on the first-order shear deformation theory for analysis of arbitrary laminated composite plates is presented in this paper. This element is constructed by the following procedure: (i) the variation functions of the rotation and the shear strain along each side of the element are determined using Timoshenko's beam theory; and (ii) the shear strain, rotation and in-plane displacement fields in the domain of the element are then determined using the technique of improved interpolation. Furthermore, a simple hybrid procedure is also proposed to improve the stress solutions. The proposed element, denoted as CTMQ20, possesses the advantages of both the displacement-based and hybrid elements. Thus, excellent results for both displacements and stresses, especially for the transverse shear stresses, can be obtained.
Finite element, Laminated composite plates, Timoshenko', s beam theory, First-order shear deformation theory, Shear locking, Hybrid-enhanced procedure, CTMQ20
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【期刊论文】GENERALIZED CONFORMING PLATE BENDING ELEMENTS USING POINT AND LINE COMPATIBILITY CONDITIONS
龙驭球, Long Yuqiu, Bu Xiaoming, Long Zhifei and Xu Yin
Computers & Structures Vol. 54. No.4. pp. 717-723. 1995,-0001,():
-1年11月30日
Based on the modified potential energy functional and the point and line compatibility conditions, two generalized conforming elements (triangular with 9 DOFs and rectangular with 12 DOFs) for thin plate bending are developed. The proposed elements are reliable, easy to formulate and exhibit excellent performance.
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【期刊论文】AREA CO-ORDINATES USED IN QUADRILATERAL ELEMENTS
龙驭球, YUQIU LONG, *, JU-XUAN LI, ZHIFEI LONG AND SONG CEN
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING Commute. Numer. Meth. Engng, 15, 533 545 (1999),-0001,():
-1年11月30日
The area co-ordinate method has been successfnlly applied to constrllct triangular elements. In this paper, this method is generalized to construct quadrilateral elements, and the area co-ordinate theory for quadrilateral elements is systematically developed: (i) the area co-ordinates (L1, L2, L3, L4) of any point in a quadrilateral are defined and two identical equations, which the fonr area co-ordinates should satisfy, are formnlated and proved; (ii) two characteristic parameters for quadrilateral elements are defined and the degeneration conditions under which a qnadrilateral degenerates into a parallelogram or a trapezoid or a triangle are given; (iii) transformation relations between the area co-ordinates and the Cartesian or isoparametric co-ordinates are presented, and several important formnlae for quadrilateral area co-orchnates are listed. Copyright
finite element, quadrilateral element, area co-ordinates
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【期刊论文】基于解析试函数的广义协调元-第十一届全国结构工程学术会议特邀报告
龙驭球, 傅向荣
《工程力学》增刊2002,028~039,-0001,():
-1年11月30日
本文探讨利用问题基本解析解作为试函数构造厂义协调元的方法。成功地构造了四边形膜元ATF-Q4A和ATF-Q4B、含旋转自由度的四边形膜元ATF-Q40,厚薄通用板元ATF-PQ4A和ATF-PQ4B,含切口奇异元ATF-VN,数值实验表明,该类单元体现了离散法与解析法的互补与渗透,具有许多优良的特性,较好地处理了有限元分析中常见的网格畸变、剪切闭锁、奇异性等问题。
试函数, 广义协调元, 网格畸变, 剪切闭锁, 奇异性
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【期刊论文】Generalized Conforming Element (GCE) and Quadrilateral Area Coordinate Method (QACM)
龙驭球, Yu-Qiu Long , Song Cen *, Zhi-Fei Long
WCCM VI in conjunction with APCOM'04, Sept. 5-10, 2004,-0001,():
-1年11月30日
This paper presents a brief review on the concepts and applications of Generalized Conforming Element (GCE) and Quadrilateral Area Coordinate Method (QACM). The GCE approach is initially derived from the modified potential energy principle (a multiple-variable principle), but finally the potential energy principle (a single-variable principle) is actually used to formulate the GCEs. These GCEs possess the advantages of both nonconforming and conforming elements. The QACM is generalized from the area coordinate method used in triangular elements. Those quadrilateral elements constructed by the QACM are insensitive to mesh distortion. Both the GCE and the QACM are effective tools for developments of high performance finite element models.
Generalized Conforming Element (, GCE), ,, Quadrilateral Area Coordinate Method (, QACM),
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