This article examines the plane hinged mechanisms with the aid of two original methods, i.e., a theoretical method and an experimental one. Each of these methods is based on the fact that the functions characterizing the motion of a large class of mechanisms are periodic functions. This fact determines the mathematical tools for the theoretical method; namely, complex Fourier series and the approximation exponential polynomial. For the experimental method this fact is of importance in the suitable choice of a system of successive derivatives of the electrical signal furnished by a polar mechanical transducer which represents the path of any point of the mechanism. The theoretical method of complex harmonic analysis represents the examination of binary structural groups with the aid of Fourier series expressed in complex form. The manner of applying this method to the investigation of plane hinged mechanisms is shown. In the case of the five-link mechanism of aspect I the method is brought to the level of a calculation algorithm which may be used on a digital computer. A numerical example is given with the aid of a CET-501 digital computer.
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February 1969
This article was originally published in
Journal of Engineering for Industry
Research Papers
Complex Harmonic Analysis of Plane Mechanisms. Programming on Digital Computers and Experimental Examples
R. C. Bogdan,
R. C. Bogdan
Division for Mechanisms, Center of Mechanics of Solids, Academy of the Socialist Republic of Romania, Bucharest, Romania
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D. Larionescu,
D. Larionescu
Division for Mechanisms, Center of Mechanics of Solids, Academy of the Socialist Republic of Romania, Bucharest, Romania
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I. Ca˘rut¸as¸u
I. Ca˘rut¸as¸u
Division for Mechanisms, Center of Mechanics of Solids, Academy of the Socialist Republic of Romania, Bucharest, Romania
Search for other works by this author on:
R. C. Bogdan
Division for Mechanisms, Center of Mechanics of Solids, Academy of the Socialist Republic of Romania, Bucharest, Romania
D. Larionescu
Division for Mechanisms, Center of Mechanics of Solids, Academy of the Socialist Republic of Romania, Bucharest, Romania
I. Ca˘rut¸as¸u
Division for Mechanisms, Center of Mechanics of Solids, Academy of the Socialist Republic of Romania, Bucharest, Romania
J. Eng. Ind. Feb 1969, 91(1): 27-36
Published Online: February 1, 1969
Article history
Received:
July 8, 1968
Citation
Bogdan, R. C., Larionescu, D., and Ca˘rut¸as¸u, I. (February 1, 1969). "Complex Harmonic Analysis of Plane Mechanisms. Programming on Digital Computers and Experimental Examples." ASME. J. Eng. Ind. February 1969; 91(1): 27–36. https://doi.org/10.1115/1.3591544
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