Static Displacement and Coupled Frequencies of a Twisted Bar

作者: R. J. DUNHOLTER

DOI: 10.2514/8.11350

关键词: TwistCross section (physics)PhysicsConstant (mathematics)Displacement (vector)Bar (music)Section (fiber bundle)Principal axis theoremUnit of lengthMathematical analysis

摘要: T ELASTIC BODY CONSIDERED is a straight bar with constant rectangular cross section and an initial structural twist of 6 (constant) radians per unit length. The object the paper twofold: (1) to calculate static displacement components u(z) v{z) in direction principal axes u v at each due uniform loads wu wv also axes; (2) approximate by energy method, using functions mentioned (1), first two natural frequencies bar. method used applicable any end conditions but only fixed-free case considered. In without fundamental corresponding vibrations normal parallel minor axis are given formulas

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