NATURAL VIBRATIONS OF A RECTANGULAR PLATE WITH MIXED BOUNDARY CONDITIONS
S. D. Algazin, I. A. Selivanov
Abstract
Natural vibrations of a rectangular plate with two clamped and two freely supported edges are under consideration. The Bubnov — Galerkin method is used to calculate the first eigenvalues, and the first eigenvalue in the case of a single trial function is calculated with an error smaller than 1%. The results are compared with known data, and eigenforms are given.
Topics & Concepts
Eigenvalues and eigenvectorsVibrationBoundary (topology)Boundary value problemFunction (biology)Mathematical analysisGalerkin methodMathematicsPhysicsGeometryMechanicsAcousticsFinite element methodThermodynamicsBiologyEvolutionary biologyQuantum mechanicsComposite Structure Analysis and OptimizationEngineering and Agricultural InnovationsElasticity and Wave Propagation