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Vibration of linear mechanical systems
119 plays a much more active role than traditionally. It need no longer be used merely as a fast calculator assigned to solve precisely described mathematical problems, the author points out, but it can be used to solve many more advanced tasks of the designer. In the early stages of the design process, the computer can be utilized to judge the merits of alternative trial designs. The author also describes how it may be used for comparing the efficiency of algorithms in order to find an optimal procedure, and finally how an economic analysis of the computer technique may be performed. PIOTR RU SE K
Technological University, Krakow, Poland
H. McCallion: Vibration of Linear Mechanical Systems. First Edition, John Wiley & Sons, A Halsted Press Book, New York, 1973, 299 pp. PROFESSOR McCallion's book should suit a first graduate course in mechanical vibration provided that students have received good schooling in statics, dynamics, differential equations, and vector and matrix algebra. Teachers using the text may confront extensive needs for additional illustrative material to augment the sometimes cryptic presentation, and additional exercises to complement the limited number of often difficult problems included. Work invested in building a course around the text should, however, be rewarding for those teachers who have a flair for eccentric notation, an appreciation for the language, and a respect for the English researchers--Professor McCallion and his colleagues--who have contributed much to the field of mechanical vibration. These contributions are tangibly manifested in unique insights given throughout the book. Material normally found in a vibration text of this level--single degree of freedom systems, multidegree of freedom systems, continuous systems, and approximating techniques--is better developed generally in other currently used texts, at least from the standpoint of motivating the average student by providing an ascending degree of complexity in concepts, examples, and problems. Untypically, the text offers a fairly thorough look at rigid body dynamics and provides thereby the basis for examining a wide selection of vibrating systems. In particular, vibration in gyroscopic systems is briefly treated as the last topic in the text. This presentation evolves naturally, following as it does an excellent introduction to rotating shafts. The latter, meriting praise for its completeness, order, and clarity, proceeds from a description of the behavior of a mass on an elastic shaft, through discussions of the influence of stationary and rotary damping to include an aside on the stability of linear systems, and culminates in discussions concerning such topics as the influence of shaft asymmetries, distributed mass, bearing flexibilities, and hydrodynamic journal bearing properties. With regard to unique insights, the presentation on muitidegree of freedom systems initiates with an instructive development on the decoupling of equations of motion and terminates with a discussion of synthesizing system equations of motion given subsystem properties. The latter introduces naturally the concepts of global and local coordinates, and formally structured constraints. During the presentation on continuous systems, the concept of piecewise representation is introduced and is later developed in useful and timely looks at lumped parameter modeling, and finite element
120
analysis. In subsequent chapters, the required detail for adequate piecewise models is examined in some depth for several continuous systems, and a good treatment of the numerical eigenvalue problem is given, including descriptions of modern extraction techniques not discussed in other texts. D. L. CRONIN
University of Missouri-Rolla RoUa, Missouri, U.S.A.
Technological University, Krakow, Poland
H. McCallion: Vibration of Linear Mechanical Systems. First Edition, John Wiley & Sons, A Halsted Press Book, New York, 1973, 299 pp. PROFESSOR McCallion's book should suit a first graduate course in mechanical vibration provided that students have received good schooling in statics, dynamics, differential equations, and vector and matrix algebra. Teachers using the text may confront extensive needs for additional illustrative material to augment the sometimes cryptic presentation, and additional exercises to complement the limited number of often difficult problems included. Work invested in building a course around the text should, however, be rewarding for those teachers who have a flair for eccentric notation, an appreciation for the language, and a respect for the English researchers--Professor McCallion and his colleagues--who have contributed much to the field of mechanical vibration. These contributions are tangibly manifested in unique insights given throughout the book. Material normally found in a vibration text of this level--single degree of freedom systems, multidegree of freedom systems, continuous systems, and approximating techniques--is better developed generally in other currently used texts, at least from the standpoint of motivating the average student by providing an ascending degree of complexity in concepts, examples, and problems. Untypically, the text offers a fairly thorough look at rigid body dynamics and provides thereby the basis for examining a wide selection of vibrating systems. In particular, vibration in gyroscopic systems is briefly treated as the last topic in the text. This presentation evolves naturally, following as it does an excellent introduction to rotating shafts. The latter, meriting praise for its completeness, order, and clarity, proceeds from a description of the behavior of a mass on an elastic shaft, through discussions of the influence of stationary and rotary damping to include an aside on the stability of linear systems, and culminates in discussions concerning such topics as the influence of shaft asymmetries, distributed mass, bearing flexibilities, and hydrodynamic journal bearing properties. With regard to unique insights, the presentation on muitidegree of freedom systems initiates with an instructive development on the decoupling of equations of motion and terminates with a discussion of synthesizing system equations of motion given subsystem properties. The latter introduces naturally the concepts of global and local coordinates, and formally structured constraints. During the presentation on continuous systems, the concept of piecewise representation is introduced and is later developed in useful and timely looks at lumped parameter modeling, and finite element
120
analysis. In subsequent chapters, the required detail for adequate piecewise models is examined in some depth for several continuous systems, and a good treatment of the numerical eigenvalue problem is given, including descriptions of modern extraction techniques not discussed in other texts. D. L. CRONIN
University of Missouri-Rolla RoUa, Missouri, U.S.A.