Dewey H. Hodges

Margarita E. Eglit

Continuum Mechanics Via Problems and Exercises: Answers and solutions

G. Alvin Pierce

Aeroelastic and structural dynamic phenomena play an important role in many facets of engineering. In particular, an understanding of these disciplines is essential to the design of aircraft and space vehicles. This text provides an introduction to structural dynamics and aeroelasticity, with an emphasis on conventional aircraft. The primary areas considered are structural dynamics, static aeroelasticity, and dynamic aeroelasticity. The structural dynamics material emphasizes vibration, the modal representation, and dynamic response. Aeroelastic phenomena discussed include divergence, aileron reversal, airload redistribution, unsteady aerodynamics, flutter, and elastic tailoring. Both exact and approximate solution methodologies are stressed. More than one hundred illustrations and tables help clarify the text, while upwards of fifty problems enhance student learning.

Introduction to Structural Dynamics and Aeroelasticity

Yang Liu

Yu Zhou

Lixi Huang

With rapid economic and industrial development in China, India and elsewhere, fluid-related structural vibration and noise problems are widely encountered in many fields, just as they are in the more developed parts of the world, causing increasingly grievous concerns. Turbulence clearly has a significant impact on many such problems. On the other hand, new opportunities are emerging with the advent of various new technologies, such as signal processing, flow visualization and diagnostics, new functional materials, sensors and actuators, etc. These have revitalized interdisciplinary research activities, and it is in this context that the 2nd symposium on fluid-structure-sound interactions and control (FSSIC) was organized. Held in Hong Kong (May 20-21, 2013) and Macau (May 22-23, 2013), the meeting brought together scientists and engineers working in all related branches from both East and West and provided them with a forum to exchange and share the latest progress, ideas and advances and to chart the frontiers of FSSIC. The Proceedings of the 2nd Symposium on Fluid-Structure-Sound Interactions and Control largely focuses on advances in the theory, experimental research and numerical simulations of turbulence in the contexts of flow-induced vibration, noise and their control. This includes several practical areas for interaction, such as the aerodynamics of road and space vehicles, marine and civil engineering, nuclear reactors and biomedical science etc. One of the particular features of these proceedings is that it integrates acoustics with the study of flow-induced vibration, which is not a common practice but is scientifically very helpful in understanding, simulating and controlling vibration. This offers a broader view of the discipline from which readers will benefit greatly. These proceedings are intended for academics, research scientists, design engineers and graduate students in engineering fluid dynamics, acoustics, fluid and aerodynamics, vibration, dynamical systems and control etc. Yu Zhou is a professor in Institute for Turbulence-Noise-Vibration Interaction and Control at Harbin Institute of Technology. Yang Liu is an associate professor at The Hong Kong Polytechnic University. Lixi Huang, associate professor, works at the University of Hong Kong. Professor Dewey H. Hodges works at the School of Aerospace Engineering, Georgia Institute of Technology.

Proceedings of the 2nd Symposium on Fluid-Structure-Sound Interactions and Control

Fluid-Structure-Sound Interactions and Control

Carlos M. Roithmayr

This book presents Kane's method, a modern approach that leads economically to equations that can be readily solved by computer.

Theory and Application of Kane’s Method

Dynamics

Continuum Mechanics Via Problems and Exercises: Theory and problems

Stanford University. Department of Applied Mechanics

Nonlinear partial differential equations of motion suitable for describing bending in two directions and torsion of a rotating cantilevered beam are derived by use of Hamilton's principle. A nonlinear strain displacement relation is developed based on a newly constructed coordinate transformation and forms an important contribution to the final equations. In determining the order of various terms in the derivation, it is assumed that the squares of the bending (flap and lead-lag) slopes, of the torsion deformation, and of the chord/radius and thickness/radius ratios are small compared to unity, but otherwise all nonlinear terms are retained. Thus the more important nonlinear terms are identified. In addition to the product of bending curvatures (discussed by earlier authors) which generates a twist about the blade elastic axis, it is found that a product of bending curvature in one direction and twist generates a bending moment for the other direction of bending. In general all such terms are of equal physical importance and could substantially influence the stability and response of hingless or cantilevered helicopter rotor blades, particularly when such blades are significantly deformed under normal operating loads.

Nonlinear Equations of Motion for Twisted Nonuniform Rotating Beams

This text provides an introduction to structural dynamics and aeroelasticity, with an emphasis on conventional aircraft. The primary areas considered are structural dynamics, static aeroelasticity and dynamic aeroelasticity. The structural dynamics material emphasizes vibration, the modal representation and dynamic response. Aeroelastic phenomena discussed include divergence, aileron reversal, airload redistribution, unsteady aerodynamics, flutter and elastic tailoring. More than one hundred illustrations and tables help clarify the text and more than fifty problems enhance student learning. This text meets the need for an up-to-date treatment of structural dynamics and aeroelasticity for advanced undergraduate or beginning graduate aerospace engineering students.

This book is ideal for teaching students in engineering or physics the skills necessary to analyze motions of complex mechanical systems such as spacecraft, robotic manipulators, and articulated scientific instruments. Kane's method, which emerged recently, reduces the labor needed to derive equations of motion and leads to equations that are simpler and more readily solved by computer, in comparison to earlier, classical approaches. Moreover, the method is highly systematic and thus easy to teach. This book is a revision of Dynamics: Theory and Applications (1985), by T. R. Kane and D. A. Levinson, and presents the method for forming equations of motion by constructing generalized active forces and generalized inertia forces. Important additional topics include approaches for dealing with finite rotation, an updated treatment of constraint forces and constraint torques, an extension of Kane's method to deal with a broader class of nonholonomic constraint equations, and other recent advances.

Dewey H. Hodges

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