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This monograph describes various methods for solving deformation problems of particulate solids, taking the reader from analytical to computational methods. A primary function of the book will be the presentation of linear elasticity in a language (mathematics) familiar to fluid mechanics.

Elasticity. --- Fluid dynamics. --- Elastic solids --- Dynamics --- Fluid mechanics --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Continuum mechanics --- Mechanics --- Solids --- Inclusions --- Mathematical models. --- Properties

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Based on notes for a graduate course in structural geology at UCLA, this book is a review of the mathematics of vectors and of stress and strain, including finite strain.

Geology --- Vector analysis. --- Strains and stresses. --- Architectural engineering --- Engineering, Architectural --- Stresses and strains --- Architecture --- Elastic solids --- Flexure --- Mechanics --- Statics --- Structural analysis (Engineering) --- Deformations (Mechanics) --- Elasticity --- Engineering design --- Graphic statics --- Strength of materials --- Stress waves --- Structural design --- Geomathematics --- Mathematical geology --- Algebra, Universal --- Mathematics --- Numbers, Complex --- Quaternions --- Spinor analysis --- Vector algebra --- Mathematics. --- Strains and stresses --- Vector analysis --- #WAAR:didaktiek

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This book focuses on safeguarding civil structures and residents from natural hazards such as earthquakes through the use of active control. It proposes novel proportional-derivative (PD) and proportional-integral-derivative (PID) controllers, as well as discrete-time sliding mode controllers (DSMCs) for the vibration control of structures involving nonlinearities. Fuzzy logic techniques are used to compensate for nonlinearities. The first part of the book addresses modelling and feedback control in inelastic structures and presents a design for PD/PID controllers. In the second part, classical PD/PID and type-2 fuzzy control techniques are combined to compensate for uncertainties in the structures of buildings. The methodology for tuning the gains of PD/PID is obtained using Lyapunov stability theory, and the system’s stability is verified. Lastly, the book puts forward a DSMC design that does not require system parameters, allowing it to be more flexibly applied. All program codes used in the paper are presented in a MATLAB®/Simulink® environment. Given its scope, the book will be of interest to mechanical and civil engineers, and to advanced undergraduate and graduate engineering students in the areas of structural engineering, structural vibration, and advanced control.

PID controllers. --- Proportional Integral-Derivative controllers --- Proportional-plus-Integral-plus-Derivative controllers --- Automatic control --- Building construction. --- Vibration. --- Dynamical systems. --- Dynamics. --- Buildings—Design and construction. --- Building. --- Construction. --- Engineering, Architectural. --- Building Physics, HVAC. --- Vibration, Dynamical Systems, Control. --- Building Construction and Design. --- Architectural engineering --- Buildings --- Construction --- Construction science --- Engineering, Architectural --- Structural design --- Structural engineering --- Architecture --- Construction industry --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Design and construction --- Strains and stresses. --- Design and construction. --- Stresses and strains --- Elastic solids --- Flexure --- Structural analysis (Engineering) --- Deformations (Mechanics) --- Elasticity --- Engineering design --- Graphic statics --- Strength of materials --- Stress waves