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Vibrations of Tapered Timoshenko Beams in Terms of Static Timoshenko Beam Functions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, the free vibrations of a wide range of tapered Timoshenko beams are investigated. The cross section of the beam varies continuously and the variation is described by a power ...
Nonlinear Analysis of RC Shell Structures Using Laminated Element. II
Publisher: American Society of Civil Engineers
Abstract: An incremental variational formulation and a curved‐shell element were proposed in the companion paper. In this part, the material model and solution techniques are discussed in detail. The strain‐hardening plastic approach ...
Nonlinear Analysis of RC Shell Structures Using Laminated Element. I
Publisher: American Society of Civil Engineers
Abstract: An incremental variational formulation is presented for large deflection analysis of elastic‐plastic continuum by considering the energy consistency of a nonlinear multivariable discrete system based upon incompatible trial ...
Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The incremental method has been widely used in various types of nonlinear analysis, however, so far it has received little attention in the analysis of periodic nonlinear vibrations. In this ...
Incremental Hamilton’s Principle With Multiple Time Scales for Nonlinear Aperiodic Vibrations of Shells
Publisher: The American Society of Mechanical Engineers (ASME)
Mixed Variational Formulation for Thin‐Walled Beams with Shear Lag
Publisher: American Society of Civil Engineers
Abstract: A mixed variational principle for thin‐walled prismatic structures is formulated and a solution method is proposed. In this principle, the cross section of the thin‐walled prismatic structure is assumed to be rigid in its ...
Numerical Solutions for Biot's Consolidation of Layered Soil
Publisher: American Society of Civil Engineers
Abstract: In this paper, Biot's consolidation of layered soil is solved by the finite layer (strip) method based on quasi‐variational as well as least square approaches. The two‐ (three‐) dimensional medium is idealized by as many ...
A Variable Parameter Incrementation Method for Dynamic Instability of Linear and Nonlinear Elastic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A variable parameter incrementation method is proposed and then applied to the determination of parametric instability boundary of columns. Attention is particularly paid to the geometrically ...
Forced Vibration Analysis for Damped Periodic Systems With One Nonlinear Disorder
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The steady-state responses of damped periodic systems with finite or infinite degrees-of-freedom and one nonlinear disorder to harmonic excitation are investigated by using the Lindstedt-Poincare ...
Localized Modes in Periodic Systems With Nonlinear Disorders
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The localized modes of periodic systems with infinite degrees-of-freedom and having one or two nonlinear disorders are examined by using the Lindstedt-Poincare (L-P) method. The set of nonlinear ...