In this paper, we propose a novel numerical method for solving Hallen’s integral equation, based on the sinc collocation approximation. The key innovation of our approach lies in the incorporation of weight functions into the traditional sinc-expansion framework. By leveraging the properties of sinc collocation, we transform Hallen’s integral equation into a system of algebraic equations, which can be solved efficiently.  Our method involves discretizing the singular kernel of Hallen’s integral equation and then applying the sinc approximation. Additionally, we provide a detailed analysis of the convergence and error estimation of the proposed method. Numerical results are presented for three distinct values of $\lambda$ and $l$, as well as for three different weight functions: $w(t)=1+\sin(\pi t)$, $w(t)=1+\cos(\frac{\pi t}{2})$ and $w(t)=1+t$.

In this paper, the two-layer micro sensor is modeled as a two-layer clamped-clamped microbeam and it is optimized by using the genetic algorithm. Using the results of this research, clamped-clamped microbeams can be designed in such a way that the performance of microsensors whose structure includes these microbeams will be improved. The quality factor, the sensitivity, and the maximum stress are selected as objective functions. The sensitivity and the quality factor are the functions of the natural frequency. The natural frequency is calculated based on Rayleigh’s method. The quality factor is calculated by approximation established on the one layer’s quality factor formula. To calculate the maximum stress, the system is assumed as a mass-spring system that has a harmonic displacement and the maximum deflection is the static deflection. The thickness of each layer, the width of the microbeam, and the length of the microbeam are selected as design variables. The optimization is done based on classical and Non-classical theory by the genetic algorithm. The results based on both theories are approximately equal. The length of the microbeam is the most important variable and very changes (approximately 190%). The thickness of the silicon layer has the least effect on the results and changes just lower than  (approximately 20%). The results show that when the maximum stress decreases and the sensitivity increases, the quality factor decreases which is undesirable. Maximum sensitivity is obtained when the microbeam is very small.

Application of new techniques in seismic design of structures is usually accompanied with the use of large capacity energy dissipation devices in the system. In such cases, the assumption of classical (proportional) damping is not usually valid and Non-classical features prevail in the system. Non-classical behavior is a known subject in dynamics of structures and the required mathematical basis to address different aspects of such systems is readily available in the literature. In the context of system characteristics, however, the role and the significance of each mode in total response of these structure, subjected to earthquake excitation, has not yet been properly communicated among the researchers. This study offers an intuitive adaptation for mass participation factor of Non-classical systems to signify the modal contribution role of Non-classical mass isolated buildings. The proposed factor is useful in determining the importance of isolated modes of such systems and speculating on the general behavior of these structures. A spectrum analysis technique for Non-classical systems is also projected in this study. Reliability of the definition for mass participation factor in this study is verified through some numerical examples. A supplementary conclusion suggests limiting the use of classical analytical tools in analysis of mass isolated systems to the structures with low damping ratios.      

Purpose: Wound-healing dipyridamole-and papaverine-based aerosols (D1/D2) as activators of the accumulation of cyclic adenosine monophosphate are promising drugs that can accelerate wound healing in wound processes of various origins. Methods: 128 rats were used in the study, including 38 in a pharmacological experiment on a model of stencil wounds and 90 in an experiment that studied the effect of spray on the number of CD34 cells in the blood of rats with chemically induced immunodeficiency. Immunodeficiency was caused by the fivefold administration of cyclophosphamide and prednisone. The expression level of CD34 was determined using flow cytofluorimeter. Results: Dipyridamole-and papaverine-based aerosols of two compositions (with and without ascorbic acid) have pronounced reparative properties, significantly accelerating epithelialization and healing of stencil wounds in rats. In terms of this type of action, they are somewhat superior to dexpanthenol. Dipyridamole-and papaverine-based aerosols have the ability to produce beneficial effect on the entire body’ s immune system by stimulating the division of pluripotent CD34 cells. The combined effect of papaverine and dipyridamole on tissues leads to selective stimulation of the division of pluripotent cells in the wound, and contributes to a six-fold acceleration of restoration of the animal’ s immune system after induced immunodeficiency. Conclusion: Topical application of D1/D2 aerosol samples on the skin of rats contributed to a statistically significant acceleration of regeneration processes. In terms of the appearance of granulations and epithelialization of wounds, D1/D2 aerosols were superior to dexpanthenol ointment.