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A Higher-Order Theory for Vibration of Doubly Curved Shallow Shells
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A higher-order shear deformation theory is presented for vibration analysis of thick, doubly curved shallow shells. An orthogonal curvilinear coordinate system is employed to arrive at the strain ...
Vibration of Thick Doubly-Curved Stress Free Shallow Shells of Curvilinear Planform
Publisher: American Society of Civil Engineers
Abstract: This paper presents the formulation and numerical analysis for free vibration of a class of thick, shear deformable stress free shallow shells. Using the Ritz energy approach, the higher-order shell theory is presented ...
Vibrations of Perforated Plates with Rounded Corners
Publisher: American Society of Civil Engineers
Abstract: This paper presents a free-vibration study of a new class of perforated plates with rounded corners. In contrast to the commonly used discretization methods, the vibration analysis is performed on a continuum-plate domain. ...
Vibratory Behavior of Doubly Curved Shallow Shells of Curvilinear Planform
Publisher: American Society of Civil Engineers
Abstract: A continuum approach based on the principle of minimum total energy is presented to study the free flexural vibration of doubly curved shallow shells of curvilinear planform. The Ritz procedure supplemented with the
Symplectic Elasticity: Theory and Applications
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Many of the early works on symplectic elasticity were published in Chinese and as a result, the early works have been unavailable and unknown to researchers worldwide. It is the main objective ...
A New Insight into the Paradoxical Integral and Differential Constitutive Relations of Eringen Nonlocal Theory
Publisher: American Society of Civil Engineers
Abstract: Using the Eringen nonlocal theory (ENT), the integral constitutive relation (ICR) can be transformed into a corresponding differential constitutive relation (DCR). The inequivalence and equivalence between ICR and DCR have ...
On Asymptotic Analysis for Large Amplitude Nonlinear Free Vibration of Simply Supported Laminated Plates
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An analytical approximation is developed for solving large amplitude nonlinear free vibration of simply supported laminated cross-ply composite thin plates. Applying Kirchhoff’s hypothesis and the ...
A Modified Lindstedt–Poincaré Method for Strongly Mixed-Parity Nonlinear Oscillators
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: By introducing linear and constant terms with an undetermined parameter and subsequently using certain rules to determine the optimal value of the parameter, we establish analytical approximate ...
Analytical Approximations to Large Hygrothermal Buckling Deformation of a Beam
Publisher: American Society of Civil Engineers
Abstract: This paper presents analytical approximate solutions for the geometrically nonlinear, large deformation postbuckling of a linear-elastic and hygrothermal beam with axially nonmovable pinned-pinned ends and subjected to a ...
Free Vibration Analysis of Thick Superelliptical Plates
Publisher: American Society of Civil Engineers
Abstract: This paper investigates the free vibration of thick plates with rounded corners subject to different boundary conditions. The periphery of this class of plates is defined by a superelliptical function, and the degree of ...