Optimum Design of Structures with Regard to Their Vibrational Characteristic : 2nd Report, The Type-1-problems of Structural Elements Having 1-section-freedom and 2-section-freedom

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In reducing the total mass of structures, it is sometimes necessary to pay such dynamical considerations as avoiding resonant phenomena between the structures and external systems involving the sources of vibration. From this point of view, a kind of problems named "type-1" have been proposed in literatures in this field: i.e. the problem of finding the optimum shapes of structures maximizing their fundamental natural frequencies for prescribed mass of them. In the first report, a general method has already been presented for optimum designs of structures in which natural frequencies have been involved in objective functions and conditions of constraints. Thus in this reports, some demonstrative applications of this method are shown in the type-1-problems of vibrating structural elements of 1-section-freedom^<****%gt; and 2-section-freedom, which contain extensional, shearing and torsional vibration problems of elastic rods and flexural vibration problems of beams. And numerical results obtained are discussed in detail from many points of view.
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