Energy principles and variational methods in applied mechanics

By J. Reddy. 2002

1,115 citations recorded by the source corpus.

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Citations in the corpus

An analytical method for temperature-dependent free vibration analysis of functionally graded beams with general boundary conditions (2010, methodology): “The differential equations of motion are then derived using Hamilton’s principle [12]:”
Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position (2015, background): “The principle can be stated in analytical form as [36–39]”
An Efficient Shear Deformation Beam Theory Based on Neutral Surface Position for Bending and Free Vibration of Functionally Graded Beams# (2013, background): “The principle can be stated in analytical form as (Reddy, 2002) ∫ t2”
Static analysis of doubly-curved anisotropic shells and panels using CUF approach, differential geometry and differential quadrature method (2014, background): “Thin and thick shell topics were studied and widely developed over the last 70 years [1–53].”
Free vibration analysis of ribbed plates by a combined analytical-numerical method (2009, methodology): “Using the assumed-modes method [16] and assuming a time-harmonic vibration, the plate deflection w can be expressed as the superposition of a finite number of mode shape functions smnðx; yÞ as follows:”
Exact Solution for Thermal Buckling of Functionally Graded Plates Resting on Elastic Foundations with Various Boundary Conditions (2013, methodology): “The equilibrium equations of a rectangular plate can be obtained using the principle of minimum total potential energy [21]”
A SIZE-DEPENDENT FUNCTIONALLY GRADED SINUSOIDAL PLATE MODEL BASED ON A MODIFIED COUPLE STRESS THEORY (2013, background): “The principle can be stated in an analytical form as [27]”