... on Euler–Bernoulli kinematic assumptions. Hamilton’s principle is employed for obtaining differential equations that rule vibrations for both straight and curved parts of the oblong ring, aiming to find the natural frequencies in an oblong ring-type structures. A design algorithm is proposed in order...

... of manipulators. In this paper, dynamic models of large cable-driven parallel manipulators (CDPMs) are addressed where each cable is considered with distributed mass and can change in length during operation. The dynamic equation of a cable deployed or retrieved is derived using Hamilton's principle. The dynamic...

... are derived in detail using the extended Hamilton principle. It has been shown that the source of coupling in the equations of motion is the rotation and that the equations are linked through the angular velocity of the base. Since the beam-tip-mass system at hand serves as the building block of many...