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- Maia, N. M. M., Technical University of Lisbon
-
- 6 (2): 69-80; Apr. 1991
-
- REFLECTIONS OF SOME SINGLE-DEGREE-OF-FREEDOM (SDOF) MODAL ANALYSIS
- METHODS
-
- ABSTRACT - In the present paper, some of the most important
- single-degree-of-freedom (SDOF) methods of modal analysis are
- described and compared, based on experience gained while applying
- them to both theoretical and experimental cases. The work is
- descriptive, as the main objective is to stress and explore the
- concepts involved and the existing similarities. It is believed
- that a contribution is made in the sense of providing a deeper
- understanding of Dobsons method relating it to the inverse method.
-
-
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- Mioduchowski, A., University of Alberta and W. Nadolski, Polish
- Academy of Sciences
-
- 6(2): 81-88; Apr. 1991
-
- ON TORSIONAL RESONANT DEFORMATIONS OF SIMPLIFIED NONHOMOGENEOUS
- DRIVE SYSTEMS
-
- ABSTRACT - In this paper the one-dimensional discrete - continuous
- model of a simple nonhomogeneous drive system is considered. The
- system consists of three rigid disks and two torsionally
- deformable shafts of different materials, but such that torsional
- wave speeds in both shafts are equal. Damping is taken into
- account by means of an equivalent external damping of the viscous
- type and an equivalent damping of the Voigt type. Numerical
- results for the amplitude - frequency curves for selected cross-
- sections are presented in graphical form.
-
-
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- Wright, J. R., University of Manchester and M. A. Al-Hadid,
- Scientific Studies and Research Centre
-
- 6(2): 89-103; Apr. 1991
-
- SENSITIVITY OF THE FORCE-STATE MAPPING APPROACH TO MEASUREMENT
- ERRORS
-
- ABSTRACT - In this paper the application of the force-state
- mapping approach to the identification of nonlinear systems is
- considered. In particular, the sensitivity of the basic method to
- systematic amplitude and phase errors, and to random errors, in
- the measurements is investigated analytically using a linear
- single degree of freedom system subject to steady state
- excitation. It is shown that the identified damping estimates are
- very sensitive to small systematic errors in the phase of the
- measured or integrated signals when the system itself is lightly
- damped, and that significantly biased results can be obtained.
- Other forms of error are far less important. The study highlights
- the need for extremely accurate instrumentation if this
- identification approach is to be used successfully in practice.
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-
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- Jara-Almonte, J., Clemson University and L. D. Mitchell, Virginia
- Polytechnic Institute and State University
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- 6(2): 105-115; Apr. 1991
-
- A HYBRID EIGENPROBLEM FORMULATION USING THE FINITE ELEMENT METHOD;
- PART I: THEORY
-
- ABSTRACT - A hybrid technique to reduce the size of finite-
- element-method based eigen problems is presented in this paper.
- Numerical examples using this method are presented in Part II. In
- this hybrid method, a continuum transfer matrix beam element is
- used as an exact dynamical element. The exact element is
- incorporated into a finite element model, and is used as a
- substructure, resulting in smaller matrices. The terms in the
- exact dynamical representation are functions of frequency. Thus
- the ensuing eigenproblem is a transcendental eigenproblem. A
- frequency-scan extraction algorithm is employed to find the
- eigenvalues. The eigenvectors can be reconstructed for both
- finite and exact elements; however, the exact formulation yields
- eigenvectors with virtually any desired spatial precision.
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- One result of this hybrid, finite element and transfer matrix,
- method is smaller matrices, albeit with a transcendental
- eigenvalue problem. Another result is that the hybrid method has
- the ability to extract higher eigenfrequencies as easily and as
- accurately as lower eigenfrequencies. Moreover, the formulation
- allows the extraction of an average of six
- eigenfrequencies/vectors for every degree of freedom in the model.
- In contrast, the finite element method models usually require four
- or more degrees of freedom per accurate eigenfrequency (within 5%
- of the true eigenvalue).
-
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- Jara-Almonte, J., Clemson University and L. D. Mitchell, Virginia
- Polytechnic Institute and State University.
-
- 6(2): 117-130; Apr. 1991
-
- A HYBRID EIGENPROBLEM FORMULATION USING THE FINITE ELEMENT METHOD;
- PART II: EXAMPLES
-
- ABSTRACT - This paper contains numerical examples of the method
- presented in Part I , which dealt with the theory. The proposed
- method incorporates continuum transfer matrices into a finite
- element discretization for substructuring purposes. The two
- examples presented in this paper, a portal arch and Vierendeel
- truss, show that the proposed method reduced the number of degrees
- of freedom of the finite element models and at the same time
- improved the accuracy of the predicted higher eigenvalues. These
- improvements came at the expense of having to solve a
- transcendental eigenproblem. The implementation and solution of
- the hybrid model is also presented.
-
-
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- McConnell, K. G., Iowa State University and Rogers, J. D., Sandia
- National Laboratories
-
- 6(2): 131-145; Apr. 1991
-
- TUTORIAL: TRANSDUCER REQUIREMENTS FOR USE IN MODAL ANALYSIS
-
- ABSTRACT - The art of Experimental Modal Analysis starts with the
- transducers and system components used in making the required
- measurements. Many different instrument systems can be used. The
- objective of the first set of four papers in this tutorial series
- is to understand instrumentation requirements and measurement
- system characteristics as applied to experimental modal analysis.
- A second set of tutorial papers will explore the requirements for
- understanding and using frequency analysis. A third set of papers
- will explore the art of pulling it all together in order to obtain
- the natural frequencies, mode shapes, structural damping, etc.
- These tutorial papers are based on a series of yearly seminars
- given at the spring meetings of the Society of Experimental
- Mechanics as well as current research and experience of the
- authors.
-
- The first paper is limited to the general measurement requirements
- and beginning definitions used in instrumentation systems. It
- addresses several topics necessary for the understanding of modal
- analysis measurements. The first section gives a very brief
- overview of the concepts of modal analysis. The next two sections
- deal with transducer characteristics. The last five sections
- discuss background material on measurements systems, operational
- amplifiers, and convenient methods for dealing with complex
- values. Each section was written independently from the others to
- provide for convenient review as reference material. Thus, some
- readers may find it more beneficial to read the background
- material first, while others may choose to skip that material
- entirely.
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-