A Dynamic Axially Symmetric Goal and its Extended Solution for a Fixed Rigid Circular Multi-layer Plate

AbstractThe subject matter of the article is a fixed circular multi-layer plate and its reaction to the axially symmetrical force (direct stress) affecting its front face. The force itself is an arbitrary time and radial coordinate function. The authors apply the method of finite integral transformation (based on the theory of electroelasticity in a three-dimentional model) to develop a new closed solution. The improvement of this new solution lies in the fact that boundary conditions for cylinder and front faces of a multi-layer plate here are completely fulfilled when compared with the data obtained in previous research. The achieved ratio design allows to further analyze this multi-layer plate fluctuations frequency content as well as to analyze changing characteristics of its stress-strain behaviour and their dependence on different layers stress-strain properties

TfOH-Promoted Reaction of 2,4-Diaryl-1,1,1-Trifluorobut-3-yn-2-oles with Arenes: Synthesis of 1,3-Diaryl-1-CF₃-Indenes and Versatility of the Reaction Mechanisms

The TfOH-mediated reactions of 2,4-diaryl-1,1,1-trifluorobut-3-yn-2-oles (CF3-substituted diaryl propargyl alcohols) with arenes in CH2Cl2 afford 1,3-diaryl-1-CF3-indenes in yields up to 84%. This new process for synthesis of such CF3-indenes is complete at room temperature within one hour. The synthetic potential, scope, and limitations of this reaction were illustrated by more than 70 examples. The proposed reaction mechanism invokes the formation of highly reactive CF3-propargyl cation intermediates that can be trapped at the two mesomeric positions by the intermolecular nucleophilic attack of an arene partner with a subsequent intramolecular ring closure