The rotating beam problem in helicopter dynamics. ([2018])

• Record Type: Book
• Further Information: Note: Ranjan Ganguli, Vijay Panchore.
• Authors: Ganguli, Ranjan; Panchore, Vijay
• Contents: ""Preface""; ""Contents""; ""About the Authors""; ""List of Figures""; ""List of Tables""; ""1 Introduction""; ""1.1 Free Vibration of a Single-Degree-of-Freedom System""; ""1.2 Free Vibration of a Damped, Single-Degree-of-Freedom System""; ""1.3 Forced Vibration of a Single-Degree-of-Freedom System""; ""1.4 Forced Vibration of a Damped, Single-Degree-of-Freedom System""; ""1.5 Two-Degrees-of-Freedom System""; ""1.6 Free Vibration of a Continuous System""; ""1.7 Hamiltonâ#x80;#x99;s Principle""; ""1.8 Diagonalization of a Symmetric Matrix""; ""1.9 Transformation of Coordinates"" ""1.10 Momentum Theory for Axial Flight""""1.11 Momentum Theory for Forward Flight""; ""1.12 Newtonâ#x80;#x93;Raphson Method""; ""1.13 Blade Element Theory""; ""1.14 Derivation of Equation of Motion of Flapping Rigid Blade""; ""1.15 Derivation of Elastic Rotor Blade Equation""; ""2 Finite Element Analysis in Space""; ""2.1 Introduction""; ""2.2 Finite Element in Space""; ""2.3 Strong Form of the Equation""; ""2.4 Weak Form of the Equation""; ""2.5 Galerkinâ#x80;#x99;s Method""; ""2.6 Shape Function in 1 Dimension""; ""2.7 Shape Function Formulation for Beam Element"" ""2.8 Properties of Shape Function in 1D""""2.9 Finite Element Formulation of Rotating Beam""; ""2.10 Centrifugal Force""; ""2.11 Shape Function Formulation for Two Elements""; ""2.12 FEM Formulation of Rotating Beam with Only One Shape Function (for Free Vibration)""; ""2.13 Calculation of Mode Shapes and Frequencies""; ""2.14 FEM Formulation of Aerodynamic Force for Rotor Problem""; ""3 Finite Element in Time""; ""3.1 Introduction""; ""3.2 Selection of Shape Function in Time""; ""3.3 Finite Element in Time Example"" ""3.4 Solution of Coupled Differential Equations with Finite Element in Time""""3.5 Enforcing Periodicity in the System""; ""3.6 Advantage of Choosing an Element from (0 to 2Ï#x80;), p-Version of Finite Element in Time""; ""3.7 Selection of Number of Nodes""; ""3.8 Effect of Forcing Term in Finite Element in Time""; ""3.9 Finite Difference Method (Rungeâ#x80;#x93;Kutta Fourth Order)""; ""4 Stability Analysis""; ""4.1 Introduction""; ""4.2 Stability Analysis of Equations with Constant Coefficients""; ""4.3 Stability Analysis of a Coupled Differential Equations with Constant Coefficients"" ""4.4 Stability Analysis of the Equation with Periodic Coefficients, Floquet Theory""""4.5 Analytical Solution with the Floquet Theory""; ""4.6 Numerical Method to Evaluate a Transition Matrix""; ""4.7 Stability Analysis for Rotor Problem""; ""5 Helicopter Rotor Results""; ""5.1 Inputs""; ""5.2 Result 1 (Mode Shapes and Frequencies of the Rotating Beam)""; ""5.3 Result 2 (Response of the Rotor Blade with the Uniform Inflow Model, Using Three Different Cases)""; ""5.4 Result 3 (Response of the Rotor Blade with the Linear Inflow Model, Using Three Different Cases)""
• Publisher Details: Singapore : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 629.134/36; Rotors (Helicopters) -- Aerodynamics; Rotational motion (Rigid dynamics); TECHNOLOGY & ENGINEERING -- Engineering (General); SCIENCE -- Mechanics -- Aerodynamics; Rotational motion (Rigid dynamics); Rotors (Helicopters) -- Aerodynamics; Electronic books
• Languages: English
• ISBNs: 9789811060984; 9811060983
• Related ISBNs: 9789811060977
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed October 19, 2017).
• 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.