Symmetry in the Advanced Mechanics of Systems

Dear Colleagues,

“Symmetry in the Advanced Mechanics of Systems” refers, on the one hand, to advanced kinematics and elastokinematics and, on the other hand, to the advanced dynamics and elastodynamics of multibody systems. Among these, an essential role is having the rigid and elastic structure of serial, parallel and mobile robots, taking compulsorily into consideration the holonomic, nonholonomic and critical mechanical features.

In the symmetry of advanced kinematics and elastokinematics, besides the classical models concerning the relative movement of mechanical systems, is the compulsory application of novel models based on matrix exponentials, quaternions, higher-order differential matrices, higher-order polynomial interpolation functions and higher-order linear and angular accelerations typical of fast-moving holonomic, nonholonomic and critical mechanical systems.

In the symmetry of advanced dynamics and elastodynamics, alongside the fundamental notions and theorems typical to Newtonian dynamics, it is compulsory to conduct research oriented around the differential and variational principles from analytical dynamics (Lagrange equations of the first and second kind, Hamilton equations and Appell equations), an essential role allowing for the application of higher-order polynomial interpolation functions, higher-order acceleration energies, generalized dynamic forces, impact of dynamics and differential equations of higher order corresponding to the fast movements of holonomic, nonholonomic and critical systems, taking into account the compulsory topic of the type of frictions developed in physical links. As a result, the research can also be in regards to novel mathematical models corresponding to symmetry in the dynamic accuracy of mechanical systems.

The main purpose of this Special Issue is to encourage researchers to share the latest developments in the field of symmetry in advanced kinematics and dynamics of systems, analytical dynamics of multibody systems and robotics.

Dr. Adina Crișan
Prof. Dr. Iuliu Negrean
Guest Editors

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