As you can note, the polar moment of inertia and the torsional constant are equal for circular profiles. Here are some notes about the accuracy of these formulas: Although the thin-walled ellipse and thin-walled rectangle formulas rely on mathematical analysis, they possess an error that depends...
Instrument models shared the same characteristics, except for cross-sectional design; triangle, rectangle, square, and hollow square geometry was selected. Finite element analysis was performed simulating a static torsional test using the FEEPlus internal solver (Solid Works). Von Mises stress and ...
tooth is subdivided into several rectangles by the improved integration method, and the deformation of each rectangle under the action of the uniform force is regarded as the deformation of a cantilever beam under the action of a concentrated force to obtain the deformation components caused by the...
of designs of optimized DMF with a TMD when the incorporation of the TMD does not significantly enhance the performance of the vibration absorbers in comparison to the optimized DMF without a TMD, (see the closely distributed Pareto star-points and dotted-points in the rectangle in Figure 12)....