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[null,"1.","Record Nr.",null,"UNINA9910807702703321"]
[null,null,"Autore",null,"Luongo Angela"]
[null,null,"Titolo",null,"Mathematical models of beams and cables / / Angelo Luongo, Daniele Zulli ; series editor, Noël Challamel"]
[null,null,"Pubbl/distr/stampa",null,"London, England ; ; Hoboken, New Jersey : , : Wiley, , 2013"]
[{"$nulls":4},"©2013"]
[null,null,"ISBN",null,"1-118-57755-8"]
[{"$nulls":4},"1-118-57763-9"]
[{"$nulls":4},"1-118-57764-7"]
[null,null,"Descrizione fisica",null,"1 online resource (379 p.)"]
[null,null,"Collana",null,"Mechanical engineering and solid mechanics series"]
[null,null,"Disciplina",null,"624.1772"]
[null,null,"Soggetti",null,"Structural analysis (Engineering) - Mathematical models"]
[{"$nulls":4},"Girders"]
[{"$nulls":4},"Cables"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Cover; Title page; Contents; Preface; Introduction; List of Main Symbols; Chapter 1. A One-Dimensional Beam Metamodel; 1.1. Models and metamodel; 1.2. Internally unconstrained beams; 1.2.1. Kinematics; 1.2.2. Dynamics; 1.2.3. The hyperelastic law; 1.2.4. The Fundamental Problem; 1.3. Internally constrained beams; 1.3.1. The mixed formulation for the internally constrained beam kinematics and constraints; 1.3.2. The displacement method for the internally constrained beam; 1.4. Internally unconstrained prestressed beams; 1.4.1. The nonlinear theory; 1.4.2. The linearized theory"]
[{"$nulls":4},"1.5. Internally constrained prestressed beams1.5.1. The nonlinear mixed formulation; 1.5.2. The linearized mixed formulation; 1.5.3. The nonlinear displacement formulation; 1.5.4. The linearized displacement formulation; 1.6. The variational formulation; 1.6.1. The total potential energy principle; 1.6.2. Unconstrained beams; 1.6.3. Constrained beams; 1.6.4. Unconstrained prestressed beams; 1.6.5. Constrained prestressed beams; 1.7. Example: the linear Timoshenko beam; 1.8. Summary; Chapter 2. Straight Beams; 2.1. Kinematics; 2.1.1. The displacement and rotation fields"]
[{"$nulls":4},"2.1.2. Tackling the rotation tensor2.1.3. The geometric boundary conditions; 2.1.4. The strain vector; 2.1.5. The curvature vector; 2.1.6. The strain-displacement relationships; 2.1.7. The velocity and spin "]
[{"$nulls":4},"fields; 2.1.8. The velocity gradients and strain-rates; 2.2. Dynamics; 2.2.1. The balance of virtual powers; 2.2.2. The inertial contributions; 2.2.3. The balance of momentum; 2.2.4. The scalar forms of the balance equations and boundary conditions; 2.2.5. The Lagrangian balance equations; 2.3. Constitutive law; 2.3.1. The hyperelastic law"]
[{"$nulls":4},"2.3.2. Identification of the elastic law from a 3D-model2.3.3. Homogenization of beam-like structures; 2.3.4. Linear viscoelastic laws; 2.4. The Fundamental Problem; 2.4.1. Exact equations; 2.4.2. The linearized theory for elastic prestressed beams; 2.5. The planar beam; 2.5.1. Kinematics; 2.5.2. Dynamics; 2.5.3. The Virtual Power Principle; 2.5.4. Constitutive laws; 2.5.5. The Fundamental Problem; 2.6. Summary; Chapter 3. Curved Beams; 3.1. The reference configuration and the initial curvature; 3.2. The beam model in the 3D-space; 3.2.1. Kinematics; 3.2.2. Dynamics; 3.2.3. The elastic law"]
[{"$nulls":4},"3.2.4. The Fundamental Problem3.3. The planar curved beam; 3.3.1. Kinematics; 3.3.2. Dynamics; 3.3.3. The Virtual Power Principle; 3.3.4. Constitutive law; 3.3.5. Fundamental Problem; 3.4. Summary; Chapter 4. Internally Constrained Beams; 4.1. Stiff beams and internal constraints; 4.2. The general approach; 4.3. The unshearable straight beam in 3D; 4.3.1. The mixed formulation; 4.3.2. The displacement formulation; 4.4. The unshearable straight planar beam; 4.5. The inextensible and unshearable straight beam in 3D; 4.5.1. Hybrid formulation: Version I; 4.5.2. Hybrid formulation: Version II"]
[{"$nulls":4},"4.6. The inextensible and unshearable straight planar beam"]
[null,null,null,"Sommario/riassunto","Nonlinear models of elastic and visco-elastic onedimensional continuous structures (beams and cables) are formulated by the authors of this title. Several models of increasing complexity are presented: straight/curved, planar/non-planar, extensible/inextensible, shearable/unshearable, warpingunsensitive/ sensitive, prestressed/unprestressed beams, both in statics and dynamics. Typical engineering problems are solved via perturbation and/or numerical approaches, such as bifurcation and stability under potential and/or tangential loads, parametric excitation, nonlinear dynamics and aeroelasticit"]