Practical Design of Machine Foundation Subjected to Harmonic Loading by Rotating Equipment with Varying Frequency
Publication: Practice Periodical on Structural Design and Construction
Volume 27, Issue 1
Abstract
This paper presents a practical design of machine foundation subjected to varying harmonic loads. The dynamic analysis of machine foundation is performed using an analytical method. The varying harmonic loads are generated by varying the speed of the machine as per the performance requirements of the plant, which essentially results in operating the machine at or near the resonance. The vertical vibration and coupled horizontal and rocking vibrations are represented using Lysmer’s and Hall’s analogs, respectively. The equations of motions are formulated considering the vertical motion and coupled horizontal and rocking motion of the foundation soil system in the lumped parameter approach. The analytical formulation is capable of considering the moments generated due to the eccentricity of loads (i.e., static weights of the machine and foundation). A computer program is developed using FORTRAN to obtain the practical solutions for the machine foundation soil system. The maximum amplitudes of the vertical and horizontal displacements of the case study example are 22.5 and 110.68 μm, respectively, for the operating frequencies ranging from 2.5 to 12.1 Hz. The performance of the induced draught fan foundation is evaluated using the General Machinery Vibration Severity Chart, the guidelines given in the publication Foundations for Machines: Analysis and Design, and the American Concrete Institute standard ACI 351.3R-04. These charts and guidelines help in assessing the performance of the machine foundation system during operation of the plant. Based on the results, the performance of the machine foundation system is rated as “good” to “very good” and “fair” to “slightly rough” category based on the obtained vertical and horizontal amplitudes of the displacements respectively. Based on the measured data, it is noted that the evaluated performance parameters are well within the operating parameters of the machine foundation system.
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Data Availability Statement
All data, models, and formulations generated or used in this study appear in the manuscript.
Acknowledgments
The author appreciates the comments and suggestions from the ASCE reviewers for the improvement of the manuscript. The author is also thankful for the constructive suggestions from Professor G. R. Dodagoudar, Indian Institute of Technology, Chennai. The author would like to thank Mr. B. P. Ravindranath, Chief Operating Officer, Mysore Paper Mills, Bhadravathi, Karnataka, India, for permitting to share the operational and design details of the ID fan. The author has benefitted from the discussions with the plant authorities, particularly Mr. D. K. Nagaraja, former Assistant General Manager, Power Plant Division, on the assessment of the performance of the machine foundation system during operations.
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Practice Periodical on Structural Design and Construction
Volume 27 • Issue 1 • February 2022
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© 2021 American Society of Civil Engineers.
History
Received: Mar 10, 2021
Accepted: Sep 8, 2021
Published online: Nov 1, 2021
Published in print: Feb 1, 2022
Discussion open until: Apr 1, 2022
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