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'Stability in the large' of columns just at the first bifurcation point
被引:5
作者
:
Jin, M.
论文数:
0
引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Dept Mech, Sch Civil Engn, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Dept Mech, Sch Civil Engn, Beijing 100044, Peoples R China
Jin, M.
[
1
]
Bao, Z. B.
论文数:
0
引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Sch Comp & Informat Technol, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Dept Mech, Sch Civil Engn, Beijing 100044, Peoples R China
Bao, Z. B.
[
2
]
机构
:
[1]
Beijing Jiaotong Univ, Dept Mech, Sch Civil Engn, Beijing 100044, Peoples R China
[2]
Beijing Jiaotong Univ, Sch Comp & Informat Technol, Beijing 100044, Peoples R China
来源
:
MECHANICS RESEARCH COMMUNICATIONS
|
2015年
/ 67卷
关键词
:
Bifurcation;
Stability;
Positive semidefinite;
Hessian matrix;
CONJUGATE-POINTS;
ELASTIC ROD;
D O I
:
10.1016/j.mechrescom.2015.05.002
中图分类号
:
O3 [力学];
学科分类号
:
08 ;
0801 ;
摘要
:
引用
收藏
页码:31 / 33
页数:3
相关论文
共 18 条
[1]
Bolza O., 1907, Lectures on the Calculus of Variations
[2]
Born M., 1963, UNTERSUCHUNGEN STABI, V1
[3]
AN EXTENDED CONJUGATE POINT THEORY WITH APPLICATION TO THE STABILITY OF PLANAR BUCKLING OF AN ELASTIC ROD SUBJECT TO A REPULSIVE SELF-POTENTIAL
Hoffman, Kathleen A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Maryland, Dept Math & Stat, Baltimore, MD 21250 USA
Univ Maryland, Dept Math & Stat, Baltimore, MD 21250 USA
Hoffman, Kathleen A.
Manning, Robert S.
论文数:
0
引用数:
0
h-index:
0
机构:
Haverford Coll, Dept Math, Haverford, PA 19041 USA
Univ Maryland, Dept Math & Stat, Baltimore, MD 21250 USA
Manning, Robert S.
[J].
SIAM JOURNAL ON MATHEMATICAL ANALYSIS,
2009,
41
(02)
: 465
-
494
[4]
Sufficient conditions for stability of Euler elasticas
Jin, M.
论文数:
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引用数:
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机构:
Beijing Jiaotong Univ, Sch Civil Engn & Architecture, Inst Mech, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Sch Civil Engn & Architecture, Inst Mech, Beijing 100044, Peoples R China
Jin, M.
Bao, Z. B.
论文数:
0
引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Sch Comp Sci & Technol, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Sch Civil Engn & Architecture, Inst Mech, Beijing 100044, Peoples R China
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[J].
MECHANICS RESEARCH COMMUNICATIONS,
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: 193
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[5]
A proof of instability of some Euler elasticas
Jin, M.
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Beijing Jiaotong Univ, Sch Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Sch Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Jin, M.
Bao, Z. B.
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引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Coll Comp Sci & Technol, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Sch Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Bao, Z. B.
[J].
MECHANICS RESEARCH COMMUNICATIONS,
2014,
59
: 37
-
41
[6]
Extensibility Effects on Euler Elastica's Stability
Jin, M.
论文数:
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引用数:
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0
机构:
Beijing Jiaotong Univ, Coll Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Coll Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Jin, M.
Bao, Z. B.
论文数:
0
引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Coll Comp Sci & Technol, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Coll Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Bao, Z. B.
[J].
JOURNAL OF ELASTICITY,
2013,
112
(02)
: 217
-
232
[7]
Jin M., 2015, J ELAST
[8]
Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads
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引用数:
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机构:
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Levyakov, S. V.
Kuznetsov, V. V.
论文数:
0
引用数:
0
h-index:
0
机构:
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Kuznetsov, V. V.
[J].
ACTA MECHANICA,
2010,
211
(1-2)
: 73
-
87
[9]
Stability analysis of curvilinear configurations of an inextensible elastic rod with clamped ends
Levyakov, S. V.
论文数:
0
引用数:
0
h-index:
0
机构:
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Levyakov, S. V.
[J].
MECHANICS RESEARCH COMMUNICATIONS,
2009,
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(05)
: 612
-
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[10]
A Catalogue of Stable Equilibria of Planar Extensible or Inextensible Elastic Rods for All Possible Dirichlet Boundary Conditions
Manning, Robert S.
论文数:
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引用数:
0
h-index:
0
机构:
Haverford Coll, Dept Math, Haverford, PA 19041 USA
Haverford Coll, Dept Math, Haverford, PA 19041 USA
Manning, Robert S.
[J].
JOURNAL OF ELASTICITY,
2014,
115
(02)
: 105
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←
1
2
→
共 18 条
[1]
Bolza O., 1907, Lectures on the Calculus of Variations
[2]
Born M., 1963, UNTERSUCHUNGEN STABI, V1
[3]
AN EXTENDED CONJUGATE POINT THEORY WITH APPLICATION TO THE STABILITY OF PLANAR BUCKLING OF AN ELASTIC ROD SUBJECT TO A REPULSIVE SELF-POTENTIAL
Hoffman, Kathleen A.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Maryland, Dept Math & Stat, Baltimore, MD 21250 USA
Univ Maryland, Dept Math & Stat, Baltimore, MD 21250 USA
Hoffman, Kathleen A.
Manning, Robert S.
论文数:
0
引用数:
0
h-index:
0
机构:
Haverford Coll, Dept Math, Haverford, PA 19041 USA
Univ Maryland, Dept Math & Stat, Baltimore, MD 21250 USA
Manning, Robert S.
[J].
SIAM JOURNAL ON MATHEMATICAL ANALYSIS,
2009,
41
(02)
: 465
-
494
[4]
Sufficient conditions for stability of Euler elasticas
Jin, M.
论文数:
0
引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Sch Civil Engn & Architecture, Inst Mech, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Sch Civil Engn & Architecture, Inst Mech, Beijing 100044, Peoples R China
Jin, M.
Bao, Z. B.
论文数:
0
引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Sch Comp Sci & Technol, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Sch Civil Engn & Architecture, Inst Mech, Beijing 100044, Peoples R China
Bao, Z. B.
[J].
MECHANICS RESEARCH COMMUNICATIONS,
2008,
35
(03)
: 193
-
200
[5]
A proof of instability of some Euler elasticas
Jin, M.
论文数:
0
引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Sch Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Sch Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Jin, M.
Bao, Z. B.
论文数:
0
引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Coll Comp Sci & Technol, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Sch Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Bao, Z. B.
[J].
MECHANICS RESEARCH COMMUNICATIONS,
2014,
59
: 37
-
41
[6]
Extensibility Effects on Euler Elastica's Stability
Jin, M.
论文数:
0
引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Coll Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Coll Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Jin, M.
Bao, Z. B.
论文数:
0
引用数:
0
h-index:
0
机构:
Beijing Jiaotong Univ, Coll Comp Sci & Technol, Beijing 100044, Peoples R China
Beijing Jiaotong Univ, Coll Civil Engn, Dept Mech, Beijing 100044, Peoples R China
Bao, Z. B.
[J].
JOURNAL OF ELASTICITY,
2013,
112
(02)
: 217
-
232
[7]
Jin M., 2015, J ELAST
[8]
Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads
Levyakov, S. V.
论文数:
0
引用数:
0
h-index:
0
机构:
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Levyakov, S. V.
Kuznetsov, V. V.
论文数:
0
引用数:
0
h-index:
0
机构:
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Kuznetsov, V. V.
[J].
ACTA MECHANICA,
2010,
211
(1-2)
: 73
-
87
[9]
Stability analysis of curvilinear configurations of an inextensible elastic rod with clamped ends
Levyakov, S. V.
论文数:
0
引用数:
0
h-index:
0
机构:
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk 630092, Russia
Levyakov, S. V.
[J].
MECHANICS RESEARCH COMMUNICATIONS,
2009,
36
(05)
: 612
-
617
[10]
A Catalogue of Stable Equilibria of Planar Extensible or Inextensible Elastic Rods for All Possible Dirichlet Boundary Conditions
Manning, Robert S.
论文数:
0
引用数:
0
h-index:
0
机构:
Haverford Coll, Dept Math, Haverford, PA 19041 USA
Haverford Coll, Dept Math, Haverford, PA 19041 USA
Manning, Robert S.
[J].
JOURNAL OF ELASTICITY,
2014,
115
(02)
: 105
-
130
←
1
2
→