Vibrations of shells and plates. (©2004)

• Record Type: Book
• Further Information: Note: Werner Soedel.
• Other Names: Soedel, Werner, 1936-
• Contents: Preface to the Third Edition ; Preface to the Second Edition ; Preface to the First Edition ; Historical Development of Vibration Analysis of Continuous Structural Elements; References; Deep Shell Equations ; Shell Coordinates and Infinitesimal Distances in Shell Layers; Stress-Strain Relationships; Strain-Displacement Relationships; Love Simplifications; Membrane Forces and Bending Moments; Energy Expressions; Love’s Equations by Way of Hamilton’s Principle; Boundary Conditions; Hamilton’s Principle; Other Deep Shell Theories; Shells of Nonuniform Thickness References; Radii of Curvature; References; Equations of Motion for Commonly Occurring Geometries ; Shells of Revolution; Circular Conical Shell; Circular Cylindrical Shell; Spherical Shell; Other Geometries; References; Nonshell Structures ; Arch; Beam and Rod; Circular Ring; Plate; Torsional Vibration of Circular Cylindrical Shell and Reduction to a Torsion Bar; References; Natural Frequencies and Modes ; General Approach; Transversely Vibrating Beams; Circular Ring; Rectangular Plates That are Simply Supported Along Two Opposing Edges; Circular Cylindrical Shell Simply Supported; Circular Plates Vibrating Transversely; Examples: Plate Clamped at Boundary; Orthogonality Property of Natural Modes; Superposition Modes; Orthogonal Modes from Nonorthogonal Superposition Modes; Distortion of Experimental Modes Because of Damping; Separating Time Formally; Uncoupling of Equations of Motion; In-Plane Vibrations of Rectangular Plates; In-Plane Vibration of Circular Plates; Deep Circular Cylindrical Panel Simply Supported at All Edges; Natural Mode Solutions by Power Series; On Regularities Concerning Nodelines; References; Simplified Shell Equations ; Membrane Approximations; Axisymmetric Eigenvalues of a Spherical Shell; Bending Approximation; Circular Cylindrical Shell; Zero In-Plane Deflection Approximation; Example: Curved Fan Blade; Donnell-Mushtari-Vlasov Equations; Natural Frequencies and Modes; Circular Cylindrical Shell; Circular Duct Clamped at Both Ends; Vibrations of a Freestanding Smokestack; Special Cases of the Simply Supported Closed Shell and Curved Panel; Barrel-Shaped Shell; Spherical Cap; Inextensional Approximation: Ring; Toroidal Shell; The Barrel-Shaped Shell Using Modified Love Equations; Doubly Curved Rectangular Plate; References; Approximate Solution Techniques ; Approximate Solutions by Way of the Variational Integral; Use of Beam Functions; Galerkin’s Method Applied to Shell Equations; Rayleigh-Ritz Method; Southwell’s Principle; Dunkerley’s Principle; Strain Energy Expressions ; References; Forced Vibrations of Shells by Modal Expansion ; Model Participation Factor; Initial Conditions; Solution of the Modal Participation Factor Equation; Reduced Systems; Steady-State Harmonic Response; Step and Impulse Response; Influence of Load Distribution; Point Loads; Line Loads; Point Impact; Impulsive Forces and Point Forces Described by Dirac Delta Functions; Definitions and Integration Property of the Dirac Delta Function; Selection of Mode Phase Angles for Shells of Revolution; Steady-State Circular Cylindrical Shell Response to Harmonic Point Load with All Mode Components Considered; Initial Velocity Excitation of a Simply Supported Cylindrical Shell; Static Deflections; Rectangular Plate Response to Initial Displacement Caused by Static Sag; The Concept of Modal Mass, Stiffness Damping, and Forcing; Steady State Response of Shells to Periodic Forcing; Plate Response to a Periodic Square Wave Forcing; Beating Response to Steady State Harmonic Forcing; References; Dynamic Influence (Green’s) Function ; Formulation of the Influence Function; Solution to General Forcing Using the Dynamic Influence Function; Reduced Systems; Dynamic Influence Function for the Simply Supported Shell; Dynamic Influence Function for the Closed Circular Ring; Traveling Point Load on a Simply Supported Cylindrical Shell; Point Load Traveling Around a Closed Circular Cylindrical Shell in Circumferential Direction; Steady-State Harmonic Green’s Function; Rectangular Plate Examples; Floating Ring Impacted by a Point Mass; References; Moment Loading ; Formulation of Shell Equations That Include Moment Loading; Modal Expansion Solution; Rotating Point Moment on a Plate; Rotating Point Moment on a Shell; Rectangular Plate Excited by a Line Moment; Response of a Ring on an Elastic Foundation to a Harmonic Point Moment; Moment Green’s Function; References; Vibration of Shells and Membranes Under the Influence of Initial Stresses ; Strain-Displacement Relationships; Equations of Motion; Pure Membranes; Example: The Circular Membrane; Spinning Saw Blade; Donnell-Mushtari-Vlasov Equations Extended to Include Initial Stresses; References; Shell Equations with Shear Deformation and Rotary Inertia ; Equations of Motion; Beams with Shear Deflection and Rotary Inertia; Plates with Transverse Shear Deflection and Rotary Inertia; Circular Cylindrical Shells with Transverse Shear Deflection and Rotary Inertia; References; Combinations of Structures ; Receptance Method; Mass Attached to Cylindrical Panel; Spring Attached to Shallow Cylindrical Panel; Harmonic Response of a System in Terms of Its Component Receptances; Dynamic Absorber; Harmonic Force Applied Through a Spring; Steady-State Response to Harmonic Displacement Excitation; Complex Receptances; Stiffening of Shells; Two Systems Joined by Two or More Displacement; Suspension of an Instrument Package in a Shell; Subtracting Structural Subsystems; Three and More Systems Connected; Examples of Three Systems Connected to Each Other; References; Hysteresis Damping ; Equivalent Viscous Damping Coefficient; Hysteresis Damping; Direct Utilization of Hysteresis Model in Analysis; Hysteretically Damped Plate Excited by Shaker; Steady State Response to Periodic Forcing; References; Shells Made of Composite Material ; Nature of Composites; Lamina-Constitutive Relationship; Laminated Composite; Equation of Motion; Orthotropic Plate; Circular Cylindrical Shell; Orthotropic Nets or Textiles Under Tension; Hanging Net or Curtain; Shells Made of Homogeneous and Isotropic Lamina; Simply Supported Sandwich Plates and Beams Composed of Three Homogeneous and Isotropic Lamina; References; Rotating Structures ; String Parallel to Axis of Rotation; Beam Parallel to Axis of Rotation; Rotating Ring; Rotating Ring Using Inextensional Approximation; Cylindrical Shell Rotating with Constant Spin About Its Axis; General Rotations of Elastic Systems; Shells of Revolution with Constant Spin About Their Axes of Rotation; Spinning Disk; References; Thermal Effects ; Stress Resultants; Equations of Motion; Plate; Arch, Ring, Beam, and Rod; Limitations; Elastic Foundations ; Equations of Motion for Shells on Elastic Foundations; Natural Frequencies and Modes; Plates on Elastic Foundations; Ring on Elastic Foundation; Donnell-Mushtari-Vlasov Equations with Transverse Elastic Foundation; Forces Transmitted Into the Base of the Elastic Foundation; Vertical Force Transmission Through the Elastic Foundation of a Ring on a Rigid Wheel; Response of a Shell on an Elastic Foundation to Base Excitation; Plate Examples of Base Excitation and Force Transmission; Natural Frequencies and Modes of a Ring on an Elastic Foundation in Ground Contact at a Point; Response of a Ring on an Elastic Foundation to a Harmonic Point Displacement; References; Similitude ; General Similitude; Derivation of Exact Similitude Relationships for Natural Frequencies of Thin Shells <
• Edition: 3rd ed., rev. and expanded
• Publisher Details: New York : Marcel Dekker
• Publication Date: 2004
• Copyright Date: 2004
• Extent: 1 online resource (xxiv, 553 pages), illustrations
• Subjects: 624.1/7762; Shells (Engineering) -- Vibration; Plates (Engineering) -- Vibration; Coques (Ingénierie) -- Vibrations; Plaques (Ingénierie) -- Vibrations; TECHNOLOGY & ENGINEERING -- Structural; Plates (Engineering) -- Vibration; Shells (Engineering) -- Vibration; Electronic books; Electronic books
• Languages: English
• ISBNs: 0203026306; 9780203026304
• Related ISBNs: 0824756290
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.