Derivation of theories : structures of the derived systemin terms of those of the original system in classical
نویسندگان
چکیده
We present the technique of derivation of a theory to obtain an (n + 1)f-degrees-of-freedom theory from an f-degrees-of-freedom theory and show that one can calculate all of the quantities of the derived theory from those of the original one. Speciically, we show that one can use this technique to construct, from an integrable system, other integrable systems with more degrees of freedom.
منابع مشابه
Derivation of theories: structures of the derived system in terms of those of the original system in classical mechanics
We present the technique of derivation of a theory to obtain an (n + 1)f -degrees-of-freedom theory from an f -degrees-of-freedom theory and show that one can calculate all of the quantities of the derived theory from those of the original one. Specifically, we show that one can use this technique to construct, from an integrable system, other integrable systems with more degrees of freedom.
متن کاملStrain gradient torsional vibration analysis of micro/nano rods
Fabrication, characterization and application of micro-/nano-rods/wires are among the hottest topics in materials science and applied physics. Micro-/nano-rod-based structures and devices are developed for a wide-ranging use in various fields of micro-/nanoscience (e.g. biology, electronics, medicine, optics, optoelectronics, photonics and sensors). It is well known that the structure and prope...
متن کاملStrain gradient torsional vibration analysis of micro/nano rods
Fabrication, characterization and application of micro-/nano-rods/wires are among the hottest topics in materials science and applied physics. Micro-/nano-rod-based structures and devices are developed for a wide-ranging use in various fields of micro-/nanoscience (e.g. biology, electronics, medicine, optics, optoelectronics, photonics and sensors). It is well known that the structure and prope...
متن کاملVibration and Buckling of Double-Graphene Sheet-Systems with an Attached Nanoparticle Based on Classical and Mindlin Plate Theories Considering Surface Effects
Vibration of double-graphene sheet-system is considered in this study. Graphene sheets are coupled by Pasternak elastic medium. Classic and Mindlin plate theories are utilized for modeling the coupled system. Upper sheet carries a moving mass. Governing equations are derived using energy method and Hamilton’s principle considering surface stress effects and nonlocal parameter. Using Galerkin m...
متن کاملA Numerical and Analytical Solution for the Free Vibration of Laminated Composites Using Different Plate Theories
An analytical and numerical solution for the free vibration of laminated polymeric composite plates with different layups is studied in this paper. The governing equations of the laminated composite plates are derived from the classical laminated plate theory (CLPT) and the first-order shear deformation plate theory (FSDT). General layups are evaluated by the assumption of cross-ply and angle-p...
متن کامل