Complex vectors in kinematics

Authors

DOI:

https://doi.org/10.46842/ipn.cien.v30n2a07

Keywords:

complex vectors, complex kinematics, complex variables and mechanisms, applications of complex variables in mechanics, geometry and complex variables

Abstract

With a brief review of the derivation, this article solves some problems present in classical (or Newtonian) mechanics, by using the complex variable, which, as is known, is susceptible to being applicable in different areas of knowledge. It is simply another method that could be, at first glance, more complicated than those used in that discipline, however, as can be seen, the elegance with which it carries out the solution allows us to understand the phenomenon in question in another way; it requires knowledge of derivation rules and a little geometry, with this, it is intended to instill research into other problems that are susceptible to being solved with this method, even in other areas of knowledge.

References

[1] H. Mabie, C. Reinholtz, Mecanismos y dinámica de maquinaria, 2ª ed., México, Limusa Wiley, 2010.

[2] D. H. Myszka, Máquinas y mecanismos, 4ª ed., México, Pearson Educación, 2012.

[3] T. C. Guerra, Analisis y síntesis de mecanismos con aplicaciones, 1ª ed., México, Patria, 2016.

[4] J. E. Marsden, M. Hoffman, Análisis básico de variable compleja, 1ª ed., México, Trillas, 1996.

[5] R. Fuster, I. Giménez, Variable compleja y ecuaciones diferenciales, 1ª ed., México, Reverté, 1995.

[6] J. B. Conway, Funciones de una variable compleja, 1ª ed., Nueva York, USA, Springer, 2000.

[7] J, Nieto, Síntesis de mecanismos, 1ª ed., Madrid, España, Editorial AC, 1978.

[8] M.G. Santos Caballero. Problemas y ejercicios de Mecanismos (notas de clase), México, 2026.

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Published

28-10-2026

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Section

Dissemination

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