Slight Changes in Layout Style and Updated License

2023-06-30

The Author Guidelines provide the new version of manuscript format guidance, which aims to provide layout formatting instructions for papers published on Journal of AppliedMath.

The new layout style uses a single column instead of a double column. This change was made for the convenience of authors and readers. At the same time, the license used will be changed from CC By-NC 4.0 to CC BY 4.0, which allows sharing and adapting the material for any purpose, even commercially.

The new instruction will be applied since 2023 Vol.1, No.2, and authors are requested to follow this important notice.

The dynamic loads from earthquakes and winds can destroy lives, cause collapsein civil structures, and interrupt basic services provided to the population. In this scenario,structural designs must be developed to decrease the damage induced by these actions. Theobjective of this work is to design a hybrid controller based on the optimization via statefeedback and the magneto-rheological damper (MRD) to mitigate the excessive vibrations ofa three-story steel frame building, represented through the shear building model, subjected tothe simultaneous dynamic action of wind and earthquake. All research is based oncomputational simulation, experimental research and results will not be addressed. In thenumerical analysis, digital computer and MATLAB® software are used, and implementedcodes generate the expected results based on the mathematical modeling. With theapplication of the control technique via state feedback, the displacements were reduced by77%. With MRD this reduction was 79%. With the hybrid controller, this reduction was100%. Thus, the verifications in relation to maximum displacements were met for NBR15421:2006, NBR 8800:2008 and NBR 6118:2014. From the results, it is concluded that thehybrid controller proved to be more efficient and achieved the proposed objective. Theexogenous inputs had zero influence on the behavior of the system output

One of the most widespread interpretations of the mass-energy equivalence establishes that not only can mass be transformed into energy (e.g., through nuclear fission, fusion, or annihilation) but that every type of energy also has mass (via the mass-energy equivalence formula). Here, we show that this is not always the case. With the help a few thought experiments, we show that, for instance, the electric potential energy of a charged capacitor should not contribute to the capacitor’s gravitational rest mass (while still contributing to its linear momentum). That result is in agreement with the fact that light (ultimately, an electromagnetic phenomenon) has momentum but not rest mass