ABSTRACT
Structures made up of beams are common in engineering. † They constitute systems of an infinite number of degrees of freedom, and the mode-summation methods make possible their analysis as systems of a finite number of degrees of freedom. The effect of rotary inertia and shear deformation is sometimes of interest in beam problems. Constraints are often found as additional supports of the structure, and they alter the normal modes of the system. In the use of the mode-summation method, convergence of the series is of importance, and the mode-acceleration method offers a varied approach. The modes used in representing the deflection of a system need not always be orthogonal. The synthesis of a system using nonorthogonal functions is illustrated. Olympus satellite and deployment boom. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203718841/3f9406e4-dd3e-402a-bce7-84f7b7196f6a/content/fig11_1_1.jpg"/> (Courtesy of Astro Aerospace. Carpinteria, California)
