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Book
Fracture and Fatigue Assessments of Structural Components
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Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

In dealing with fracture and fatigue assessments of structural components, different approaches have been proposed in the literature. They are usually divided into three subgroups according to stress-based, strain-based, and energy-based criteria. Typical applications include both linear elastic and elastoplastic materials and plain and notched or cracked components under both static and fatigue loadings. The aim of this Special Issue is to provide an update to the state-of-the-art on these approaches. The topics addressed in this Special Issue are applications from nano- to full-scale complex and real structures and recent advanced criteria for fracture and fatigue predictions under complex loading conditions, such as multiaxial constant and variable amplitude fatigue loadings.


Book
Fracture and Fatigue Assessments of Structural Components
Author:
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

In dealing with fracture and fatigue assessments of structural components, different approaches have been proposed in the literature. They are usually divided into three subgroups according to stress-based, strain-based, and energy-based criteria. Typical applications include both linear elastic and elastoplastic materials and plain and notched or cracked components under both static and fatigue loadings. The aim of this Special Issue is to provide an update to the state-of-the-art on these approaches. The topics addressed in this Special Issue are applications from nano- to full-scale complex and real structures and recent advanced criteria for fracture and fatigue predictions under complex loading conditions, such as multiaxial constant and variable amplitude fatigue loadings.


Book
Fracture and Fatigue Assessments of Structural Components
Author:
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

In dealing with fracture and fatigue assessments of structural components, different approaches have been proposed in the literature. They are usually divided into three subgroups according to stress-based, strain-based, and energy-based criteria. Typical applications include both linear elastic and elastoplastic materials and plain and notched or cracked components under both static and fatigue loadings. The aim of this Special Issue is to provide an update to the state-of-the-art on these approaches. The topics addressed in this Special Issue are applications from nano- to full-scale complex and real structures and recent advanced criteria for fracture and fatigue predictions under complex loading conditions, such as multiaxial constant and variable amplitude fatigue loadings.

Keywords

History of engineering & technology --- fatigue life prediction --- dissipated energy --- thermo-graphic technique --- thermal evolution --- peridynamics --- composite --- ordinary state-based --- double cantilever composite beam (DCB) --- delamination --- control volume concept --- critical plane approach --- fatigue life assessment --- severely notched specimens --- strain energy density --- monitoring of fatigue crack --- damage index --- ultrasonic guided waves --- sensor network --- structural health monitoring --- thermal fatigue --- thermal barrier coat --- master–slave model --- life prediction --- nozzle guide vane --- microcracks --- multiple fatigue crack --- crack coalescence --- concrete beams --- damage evolution --- multiscale --- fatigue damage evolution --- ABAQUS subroutine --- 3D reconstruction --- MCT scanning --- fatigue life --- cleat filler --- broken coal seam --- wellbore stability --- analytical model --- affecting factors --- fatigue crack --- welded bogie frame --- wheel polygon --- rail corrugation --- running speed --- finite fracture mechanics --- nanoscale --- silicon --- brittle --- notch --- fracture --- nanodevice --- life assessment --- crack initiation --- crack propagation --- finite element method --- scroll compressor --- fatigue --- crack --- metal --- structure --- welded joint --- FEM --- fatigue life prediction --- dissipated energy --- thermo-graphic technique --- thermal evolution --- peridynamics --- composite --- ordinary state-based --- double cantilever composite beam (DCB) --- delamination --- control volume concept --- critical plane approach --- fatigue life assessment --- severely notched specimens --- strain energy density --- monitoring of fatigue crack --- damage index --- ultrasonic guided waves --- sensor network --- structural health monitoring --- thermal fatigue --- thermal barrier coat --- master–slave model --- life prediction --- nozzle guide vane --- microcracks --- multiple fatigue crack --- crack coalescence --- concrete beams --- damage evolution --- multiscale --- fatigue damage evolution --- ABAQUS subroutine --- 3D reconstruction --- MCT scanning --- fatigue life --- cleat filler --- broken coal seam --- wellbore stability --- analytical model --- affecting factors --- fatigue crack --- welded bogie frame --- wheel polygon --- rail corrugation --- running speed --- finite fracture mechanics --- nanoscale --- silicon --- brittle --- notch --- fracture --- nanodevice --- life assessment --- crack initiation --- crack propagation --- finite element method --- scroll compressor --- fatigue --- crack --- metal --- structure --- welded joint --- FEM

The Traveling Salesman Problem
Authors: --- ---
ISBN: 1283256118 9786613256119 1400841100 9781400841103 0691129932 9780691129938 9781283256117 Year: 2011 Publisher: Princeton, NJ

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Abstract

This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has inspired studies by mathematicians, chemists, and physicists. Teachers use it in the classroom. It has practical applications in genetics, telecommunications, and neuroscience. The authors of this book are the same pioneers who for nearly two decades have led the investigation into the traveling salesman problem. They have derived solutions to almost eighty-six thousand cities, yet a general solution to the problem has yet to be discovered. Here they describe the method and computer code they used to solve a broad range of large-scale problems, and along the way they demonstrate the interplay of applied mathematics with increasingly powerful computing platforms. They also give the fascinating history of the problem--how it developed, and why it continues to intrigue us.

Keywords

Traveling salesman problem. --- TSP (Traveling salesman problem) --- Combinatorial optimization --- Graph theory --- Vehicle routing problem --- AT&T Labs. --- Accuracy and precision. --- Addition. --- Algorithm. --- Analysis of algorithms. --- Applied mathematics. --- Approximation algorithm. --- Approximation. --- Basic solution (linear programming). --- Best, worst and average case. --- Bifurcation theory. --- Big O notation. --- CPLEX. --- CPU time. --- Calculation. --- Chaos theory. --- Column generation. --- Combinatorial optimization. --- Computation. --- Computational resource. --- Computer. --- Connected component (graph theory). --- Connectivity (graph theory). --- Convex hull. --- Cutting-plane method. --- Delaunay triangulation. --- Determinism. --- Disjoint sets. --- Dynamic programming. --- Ear decomposition. --- Engineering. --- Enumeration. --- Equation. --- Estimation. --- Euclidean distance. --- Euclidean space. --- Family of sets. --- For loop. --- Genetic algorithm. --- George Dantzig. --- Georgia Institute of Technology. --- Greedy algorithm. --- Hamiltonian path. --- Hospitality. --- Hypergraph. --- Implementation. --- Instance (computer science). --- Institute. --- Integer. --- Iteration. --- Linear inequality. --- Linear programming. --- Mathematical optimization. --- Mathematics. --- Model of computation. --- Neuroscience. --- Notation. --- Operations research. --- Optimization problem. --- Order by. --- Pairwise. --- Parameter (computer programming). --- Parity (mathematics). --- Percentage. --- Polyhedron. --- Polytope. --- Pricing. --- Princeton University. --- Processing (programming language). --- Project. --- Quantity. --- Reduced cost. --- Requirement. --- Result. --- Rice University. --- Rutgers University. --- Scientific notation. --- Search algorithm. --- Search tree. --- Self-similarity. --- Simplex algorithm. --- Solution set. --- Solver. --- Source code. --- Special case. --- Stochastic. --- Subroutine. --- Subsequence. --- Subset. --- Summation. --- Test set. --- Theorem. --- Theory. --- Time complexity. --- Trade-off. --- Travelling salesman problem. --- Tree (data structure). --- Upper and lower bounds. --- Variable (computer science). --- Variable (mathematics).


Book
PDE control of string-actuated motion
Authors: ---
ISBN: 0691233500 1523158255 Year: 2022 Publisher: Princeton, N. J. : Princeton University Press,

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New adaptive and event-triggered control designs with concrete applications in undersea construction, offshore drilling, and cable elevatorsControl applications in undersea construction, cable elevators, and offshore drilling present major methodological challenges because they involve PDE systems (cables and drillstrings) of time-varying length, coupled with ODE systems (the attached loads or tools) that usually have unknown parameters and unmeasured states. In PDE Control of String-Actuated Motion, Ji Wang and Miroslav Krstic develop control algorithms for these complex PDE-ODE systems evolving on time-varying domains.Motivated by physical systems, the book’s algorithms are designed to operate, with rigorous mathematical guarantees, in the presence of real-world challenges, such as unknown parameters, unmeasured distributed states, environmental disturbances, delays, and event-triggered implementations. The book leverages the power of the PDE backstepping approach and expands its scope in many directions.Filled with theoretical innovations and comprehensive in its coverage, PDE Control of String-Actuated Motion provides new design tools and mathematical techniques with far-reaching potential in adaptive control, delay systems, and event-triggered control.

Keywords

Boundary value problems. --- Cables --- Control theory. --- Differential equations, Partial. --- Equations of motion. --- Loads (Mechanics) --- Loads (Mechanics). --- SCIENCE / Mechanics / Dynamics. --- Vibration. --- Strains and stresses --- Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Motion equations --- Mechanics --- Lagrange equations --- Partial differential equations --- Dynamics --- Machine theory --- Accelerometer. --- Actuator. --- Adaptive control. --- Aircraft. --- Algorithm. --- Altitude. --- Ammeter. --- Amplitude. --- Angle of attack. --- Attitude control. --- Belt (mechanical). --- Bending. --- Buoyancy. --- Cape Crozier. --- Center of mass (relativistic). --- Center of pressure (fluid mechanics). --- Centrality. --- Centrifugal force. --- Chemical bond. --- Coanda effect. --- Combination. --- Compressibility. --- Contact force. --- Contour line. --- Control limits. --- Control reversal. --- Control variable. --- Convection. --- Coordinate system. --- Coupling. --- Drill bit. --- Dynamic pressure. --- Eigenfunction. --- Elastic instability. --- Elevon. --- Empennage. --- Equation. --- Flapper valve. --- Flight control surfaces. --- Force. --- Frequency domain. --- Frequency response. --- Fuselage. --- Gangway (nautical). --- Hamilton's principle. --- Imagery. --- Increment and decrement operators. --- Inference. --- Initial condition. --- Inspection. --- Laminar flow. --- Limit load (physics). --- Limit set. --- Linearization. --- Longitudinal mode. --- Loop around. --- Mach number. --- Main effect. --- Motion control. --- Motion planning. --- Newton's laws of motion. --- Open loop. --- Order of magnitude. --- Partial differential equation. --- Pitch angle (particle motion). --- Powered lift. --- Pressure. --- Propulsion. --- Publishing. --- Requirement. --- Rotation around a fixed axis. --- Shackle. --- Shear flow. --- Simultaneity. --- Skin friction drag. --- Solver. --- Specific impulse. --- Spiral model. --- Spline interpolation. --- State-space representation. --- Subroutine. --- Thrust vectoring. --- Torsion (mechanics). --- Torsional vibration. --- Trajectory. --- Transfer function. --- Transformation matrix. --- Transonic. --- Unit vector. --- Upper and lower bounds. --- Vector field. --- Vector projection. --- Vertical stabilizer. --- Vestibular system. --- Vibration control. --- Wind tunnel. --- Wire rope. --- SCIENCE / Mechanics / Dynamics --- MATHEMATICS / Applied

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