Problems of replacing nonbifurcational stability problems of elastic frames with bifurcational problems

G. Manuylov, S. B. Kositsyn, M. Begichev
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Abstract

When solving frame stability problems, replacing a distributed load acting on a frame element with an equivalent load in the form of concentrated forces that are applied in the frame nodes is often resorted to. This causes the bending equilibrium of the beam to become a non-bending tension-compression equilibrium. The buckling load for such frames can be either greater or less than the actual load.
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用分岔问题代替弹性框架的非分岔稳定性问题
在解决框架稳定性问题时,通常采用在框架节点上施加集中力形式的等效荷载来取代作用在框架单元上的分布荷载。这使得梁的弯曲平衡变成非弯曲的拉压平衡。这种框架的屈曲载荷可以大于或小于实际载荷。
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COMPUTATION OF THE SEGMENT OF A HIGHWAY LOCATED IN MOUNTAINS. CALCULATION SUBSTANTIATION OF THIN FOUNDATION PLATES FOR EQUIPMENT ON THE EXAMPLE OF A DIESEL GENERATOR PLANT. CALCULATING BRIDGES FOR THE ACTION OF A WEAK (DESIGN) EARTHQUAKE. FLEXIBLE CONNECTIONS: BASIC EQUATIONS AND DESIGN CHARACTERISTICS. LONGITUDINAL BENDING OF A WEIGHTY HORIZONTAL ROD ON A RIGID BASE.
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