Free Vibration of Non-uniform Timoshenko–Ehrenfest Beams with Arbitrary Two-Directional Functionally Graded Materials
Yong Huang
Topics & Concepts
Timoshenko beam theoryVibrationDeflection (physics)Boundary value problemMathematical analysisTrigonometric functionsExponential functionBeam (structure)Normal modeTrigonometric seriesEquations of motionNatural frequencyMathematicsDifferential equationPhysicsClassical mechanicsAcousticsGeometryOpticsComposite Structure Analysis and OptimizationNonlocal and gradient elasticity in micro/nano structuresVibration and Dynamic Analysis