EAN: 9783954894208

NONLINEAR VIBRATIONS OF CANTILEVER BEAMS AND PL...

Many engineering problems can be solved using a linear approximation. In the Finite Element
Analysis (FEA) the set of equations  describing the structural behaviour is then linear K d = F
(1.1) In this matrix equation  K is the stiffness matrix of the structure  d is the nodal
displacements vector and F is the external nodal force vector. Characteristics of linear
problems is that - the displacements are proportional to the loads  - the stiffness of the
structure is independent on the value of the load level. Though behaviour of real structures is
nonlinear  e.g. displacements are not proportional to the loads  nonlinearities are usually
unimportant and may be neglected in most practical problems.

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