1 – Dynamic behaviour of tapered beams

Publisher Summary This chapter illustrates that plated members that are tapered lengthwise often provide optimal solutions in structural, mechanical, and aerospace engineering and in engineering mechanics applications when compared with prismatic members; however, quantifying their buckling and dynamic behavior is far more complex than for prismatic members. The use of tapered beams in steel-framed building construction was recognized by Amirikian (1952) as an economically viable alternative to prismatic members because the size of the cross-section could be made to follow the magnitude of the bending moments within the member. The Portland Cement Association (1958) published tables and charts for determining the static deflections and bending moments in frames containing tapered members that could be used with the technique of moment distribution. The tapered members considered in this chapter possess one axis of symmetry that is in the plane in which their motion takes place and modes out of the plane of this axis of symmetry, as well as torsional modes, were excluded. Although there are many solutions for vibration of tapered members in the open literature, until very recently these were restricted to planar vibration modes.

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