The eigenvalue problem of a chain that saggs down from two supports is constituted from the linearized Lagrange equations of motion formulated with the introduction of the Lagrange multiplier method and on the assumption that the dynamic link angles and multipliers are small. A formulation is devised to deal with the eigenvalue problem with rectangular matrices. The numerical examples hint that the natural frequencies are not dispersed widely compared with those of single-body beams.
展开▼