Introduction to finite element vibration analysis / Maurice Petyt

By:

Petyt, Maurice, 1934- [aut]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Cambridge ; New York : Cambridge University Press, 2010Edition: 2nd ed (Online-Ausg.)Description: Online-Ressource (1 online resource (xvi, 500 p.)) : illISBN:

9781282818729
1282818724
9780511917547
9780521191609

Subject(s):

Additional physical formats: 0521191602 | 9780511917547 | 9780521191609 | 128281785X | Erscheint auch als: 978-0-521-19160-9 Druck-AusgabeMSC: MSC: *74-01 | 74S05 | 74H45LOC classification:

TA356

Online resources:

Zugang im Netz des KIT

Contents:

Summary: An introduction to the mathematical basis of finite element analysis as applied to vibrating systems.Summary: Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- Notation -- 1 Formulation of the Equations of Motion -- 1.1 Dynamic Equilibrium -- 1.2 Principle of Virtual Displacements -- 1.3 Hamilton's Principle -- 1.4 Lagrange's Equations -- 1.5 Equations of Motion for a System with Constraints -- 2 Element Energy Functions -- 2.1 Axial Element -- 2.2 Torque Element -- 2.3 Beam Bending Element -- 2.4 Deep Beam Bending Element -- 2.5 Membrane Element -- 2.6 Thin Plate Bending Element -- 2.7 Thick Plate Bending Element -- 2.8 Three-Dimensional Solid -- 2.9 Axisymmetric Solid -- 2.10 The Dissipation Function -- 2.11 Equations of Motion and Boundary Conditions -- 3 Introduction to the Finite Element -- 3.1 Rayleigh-Ritz Method -- 3.2 Finite Element Displacement Method -- 3.3 Axial Vibration of Rods -- 3.4 Torsional Vibration of Shafts -- 3.5 Bending Vibration of Beams -- 3.6 Vibration of Plane Frameworks -- 3.7 Vibration of Three-Dimensional Frameworks -- 3.8 Techniques for Increasing the Accuracy of Elements -- 3.9 Shear Deformation and Rotary Inertia Effects -- 3.10 Numerical Integration -- 3.11 Other Considerations for Beams -- 4 In-plane Vibration of Plates -- 4.1 Linear Triangular Element -- 4.2 Linear Rectangular Element -- 4.3 Linear Quadrilateral Element -- 4.4 Area Coordinates for Triangles -- 4.5 Linear Triangle in Area Coordinates -- 4.6 Increasing the Accuracy of Elements -- 5 Vibration of Solids -- 5.1 Axisymmetric Solids -- 5.2 Applied Loading -- 5.3 Displacements -- 5.4 Reduced Energy Expressions -- 5.5 Linear Triangular Element -- 5.6 Core Elements -- 5.7 Arbitrary Shaped Solids -- 5.8 Rectangular Hexahedron -- 5.9 Isoparametric Hexahedron -- 5.10 Right Pentahedron -- 5.11 Volume Coordinates for Tetrahedra -- 5.12 Tetrahedron Element -- 5.13 Increasing the Accuracy of Elements -- 6 Flexural Vibration of Plates.PPN: PPN: 809088975Package identifier: Produktsigel: ZDB-26-MYL | ZDB-30-PAD | ZDB-30-PQE

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