Starting from their own research work concerned with the any-order reduced accelerations method, the tangential method and the matrix-tensor method [1]-[3], the authors expose a new kinematic study of a set of a rigid body's constrained motions. The obtained results are subsequently applied to the analysis of spatial mechanisms.
Referenze Bibliografiche
[1] D. MANGERON, Sulla teoria generale delle accelerazioni ridotte d'ordine superiore. «Rend. Accad. Naz. dei Lincei. Cl. sci. fis., mat. e nat.», s. 8a, 32, 505-508 (1961).
[2] D. MANGERON e M. N. OĞUZTÖRELI, Nuove equazioni di Meccanica analitica ed operatori differenziali d'ordine superiore. «Rend. Accad. Naz. dei Lincei. Cl. sci. fis., mat. e nat.», s. 8a, 44, 375-380 (1968).
[3]
B. MANGERON,
M. N. OĞUZTÖRELI e
N. ORLANDEA,
An algorithm for producing circular and linear envelope curves in plane mechanisms consisting of complex kinematic chains with applications in digital control of machine tools. Nota I. «
Rend. Accad. Naz. dei Lincei. Cl. sci. fis., mat. e nat.», s. 8a,
47, 493-501 (
1969). |
Zbl 0194.48603[4] D. MANGERON, M. N. OĞUZTÖRELI e collab., Allgemeine Theorie der sukzessiven Näherungen bein Getriebe-und Maschinenstudium auf Grund der neuen Matrix-Tensor - Methode, im Hinblick auf die Anwendungen von Rechenautomaten. «Romanian Journal of Applied Mechanics», 13, 981-996 (1968).
[5] D. MANGERON, N. IRIMICIUC e C. DRAGAN, Novye grafo-analiticeskie metody issledovania mehanizmov i masin. «Mathematica, Cluj», 4(27), 1, 159-200 (1962).
[6] D. MANGERON, Méthode tangentielle dans l'étude des mécanismes et des machines. Comptes rendus de la Session scientifique jubilaire de l'Académie de la République Socialiste de Roumanie, Bucarest, juillet 1960.
[7] TCHANG TSY-SIANG, On Applications of the Matrix-Tensor Method in Mechanisms. Doctoral Dissertation, Aviation Institute, Pekin 1967.
[8] JOHN J. UICKER, Jr., Velocity and Acceleration Analysis of Spatial Mechanisms using 4x4 Matrices. Northwestern University, Technological Institute. Evanston, Illinois, Sept. 1963.
[9] P. A. LEBEDEV, Analiticeskie metody issledovania prostranstvennyh mehanizmov. GITTL, M.-L., 1967.
[10] F. L. LITVIN, Teoria zubcatyh peredac. Gostehizdat, M., 2-a ed., 1969.
[11] W. MEYER e CAPELLEN, Neue Forschungen in der Getriebelehre, «Rhein—Westf. Technische Anzeiger», 189-194 (1965).
[12] B. FINZI, Meccanica Razionale. 2 volumi, N. Zanichelli, Bologna.
[13] F. G. ALTMANN, Ermittlung der geometrischen Abmessungen von räumlichen Koppelgetrieben für vorgeschriebene Bedingungen, «Maschinenbautechnik», H. 12, 672-679 (1958).