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Conditions for periodic vibrations in a symmetric n-string

Claude Gauthier (2008)

Open Mathematics

A symmetric N-string is a network of N ≥ 2 sections of string tied together at one common mobile extremity. In their equilibrium position, the sections of string form N angles of 2π/N at their junction point. Considering the initial and boundary value problem for small-amplitude oscillations perpendicular to the plane of the N-string at rest, we obtain conditions under which the solution will be periodic with an integral period.

Coupled string-beam equations as a model of suspension bridges

Pavel Drábek, Herbert Leinfelder, Gabriela Tajčová (1999)

Applications of Mathematics

We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations in suspension bridges. We prove the existence of a unique solution under suitable assumptions on certain parameters of the bridge.

Curved composite beam with interlayer slip loaded by radial load

István Ecsedi, Ákos József Lengyel (2015)

Curved and Layered Structures

Elastic two-layer curved composite beam with partial shear interaction is considered. It is assumed that each curved layer separately follows the Euler-Bernoulli hypothesis and the load slip relation for the flexible shear connection is a linear relationship. The curved composite beam at one of the end cross sections is fixed and the other end cross section is subjected by a concentrated radial load. Two cases are considered. In the first case the loaded end cross section is closed by a rigid plate...

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