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Sur la stabilité d'un mouvement particulier d'un système constitué par un profil et une tige élastique. II. (Stability of a special motion of a system formed by a profile and an elastic rod. II.) - MaRDI portal

Sur la stabilité d'un mouvement particulier d'un système constitué par un profil et une tige élastique. II. (Stability of a special motion of a system formed by a profile and an elastic rod. II.) (Q1067913)

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scientific article; zbMATH DE number 3930596
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English
Sur la stabilité d'un mouvement particulier d'un système constitué par un profil et une tige élastique. II. (Stability of a special motion of a system formed by a profile and an elastic rod. II.)
scientific article; zbMATH DE number 3930596

    Statements

    Sur la stabilité d'un mouvement particulier d'un système constitué par un profil et une tige élastique. II. (Stability of a special motion of a system formed by a profile and an elastic rod. II.) (English)
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    1984
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    [For part I see the review above (Zbl 0581.76062).] The author studies the existence of motions of horizontal uniform translation of the profile with relative equilibrium of the rod in the undeformed state. Then, he considers the problem of stability of this motion in the case of the rod directed vertically downwards. This problem is reduced to the problem of the minimum of a functional. Sufficient conditions of stability are given.
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    existence
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    horizontal uniform translation of the profile
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    relative equilibrium
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    Sufficient conditions of stability
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