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Brief Statement of Foundations of Three-Dimensional Linearized Theory of the Deformable Bodies Stability (TLTDBS)
This chapter provides, in a very brief form, information on the foundations of the three-dimensional linearized theory of stability of deformable...
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Linearized Theory of Buckling
The linearized theory of buckling is illustrated here, aimed to determine the critical load of prestressed elastic structures. Under the fundamental...
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Non-axisymmetric Local Stability Loss of a Hollow Cylinder Three-Dimensional Stability Loss in Time-Dependent Composites
The book presents formulations and examples of three-dimensional non-axisymmetric stability in viscoelastic anisotropic cylindrical shells. The most...
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Three-dimensional impact angle constrained nonlinear guidance with predefined convergence time
In this paper, we address the challenge of maximizing the effectiveness of warheads by targeting the structurally vulnerable points of the intended...
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Influence of the Reinforcement Structure and Boundary Conditions on the Stability of Quadrangular Composite Panels
AbstractAn analysis of the stability of quadrangular orthotropic composite panels under compression and shear is presented. The stability problem is...
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On a problem of linearized stability for fractional difference equations
This paper discusses the problem of linearized stability for nonlinear fractional difference equations. Computational methods based on appropriate...
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Nonlinear dynamics of three-dimensional curved geometrically exact beams by a quadrature element formulation
Nonlinear dynamic analyses of three-dimensional (3D) curved geometrically exact beams were carried out using a quadrature element (QEM) formulation....
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A Method for the Analysis of the Aeroelastic Stability of Slender Wind Turbines and Its Validation
Aeroelastic stability has become an important constraint for current long and slender blade designs in the wind industry. In this work, we present a...
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Limit Cycles and Stability Criteria
Chapter 2 of the book Nonlinear Systems and Controls deals with the stability theory of dynamic systems. At the beginning, the determination of limit...
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Stability and Bifurcation Linear Analysis
Some mathematical tools, needed to perform stability and bifurcation analysis, are introduced. After a brief introduction to general dynamical...
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Introduction
A brief introduction on the current state of the three-dimensional linearized theory of stability (TDLTS) is presented in a concise form with special...
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Buckling of Thin-Walled Cylinders from Three Dimensional Nonlinear Elasticity
The famous bifurcation analysis performed by Flügge on compressed thin-walled cylinders is based on a series of simplifying assumptions, which allow...
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Chaos Theory
This chapter presents an overview of chaos theory. It starts from the background of dynamical systems, presenting the mathematical representation and...
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Energy Gradient Theory for Parallel Flow Stability
Motivated from studies of instability of viscoelastic flows, it is discovered that turbulent transition is generated by the variation of the gradient...
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Numerical simulation of three dimensional concrete printing based on a unified fluid and solid mechanics formulation
Deformation control constitutes one of the main technological challenges in three dimensional (3D) concrete printing, and it presents a challenge...
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Transition control of the blasius boundary layer using linear robust control theory
The paper considers control system design for linearized three-dimensional perturbations about a nominal laminar boundary layer over a flat plate...
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Geometric Nonlinearity and Stability Problems in Mechanics of Deformable Solids
Three-dimensional equations of elasticity theory composed for the case of finite displacements and deformations of solids have been analyzed. It is...
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Periodic solution and asymptotic behavior of the three-dimensional sixth-order Boussinesq equation in shallow water waves
In this study, the surface wave in inviscid fluid was analyzed. Starting from Euler equation and mass conservation equation, coupled with a set of...
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Control-Oriented Modeling of a Three-Dimensional Hypersonic Vehicle with Rigid/Flexible Coupling
Modeling for a hypersonic vehicle is a great challenging task due to its tightly integrated airframe/propulsion system and flexible structure. A...
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A Three-Dimensional Guidance Law for Cooperative Attack of Multi-UAVs
In order to realize the saturation attack of multi-UAVs (Unmanned Aerial Vehicles), a three-dimensional distance control guidance law (3DDCG) is...