In this research, in order to investigate the effect of the piezoelectric patch which is used as a sensor or actuator in rotating flexible structures such as a helicopter blade, the free vibrations of the rotating rectangular sheet with and without the piezoelectric patch have been presented. First-order shear deformation theory is considered for plate displacement and piezoelectric field. Considering the effect of Coriolis acceleration, centrifugal acceleration and centrifugal in-plane forces, the equations of motion are derived from Hamilton's principle and the electromechanical couple equation is obtained from Maxwell's equation. For piezoelectric, two electrical conditions, open circuit and closed circuit, which are used in sensors and actuators, respectively, have been considered. The equations are discretized with the help of the numerical method of Generalized differential squares and the matrices of inertia mass, eccentricity, Coriolis and stiffness matrix are obtained. Natural frequency values for beam and rotating plate have been compared in Abaqus software. Also, the values obtained from the numerical solution in MATLAB have been verified with articles and ABAQUS, which have high accuracy. The effect of parameters such as hub radius, rotation speed, sheet thickness, aspect ratio, piezoelectric patch thickness and applied voltage on the natural frequency of the system has also been investigated.

In this paper, we first present a new type of the concept of open sets by expressing some properties of arbitrary mappings on a power set. With the generalization of the closure spaces in categorical topology, we introduce the Generalized topological spaces and the concept of Generalized continuity and become familiar with weak and strong structures for Generalized topological spaces. Then, introducing the concept of the Generalized embedding and the Generalized injection, we study Császár product of Generalized spaces in the category of Generalized topological spaces. Using by the tools of category theory, we describe the results of classifying on the Generalized injective spaces in which these spaces are characterized as Generalized embedding of Császár product with the product topology of two points Sierpinski space. Finally, the Generalized dual-injection spaces as the objects of a special subcategory of the Generalized topological spaces are studied for which all singlepoint subsets are closed.

Objective (s): In each society dealing with the HIV/AIDS problem requires a unique response considering the relative effect and magnitude of different risk factors on that society. Generalized Impact Fraction (GIF) is a measure that can be used for this purpose.Methods: Using a systematic review of reports on three risk factors for HIV/AIDS in Iran, namely poor knowledge and attitude, injecting drug use, and unsafe sexual practices; we tried to find the prevalence and effect size of each in the country. These findings were summarized and used as an input for calculating GIF, when considered as appropriate. Identified information gaps were considered as research priorities.Results: Ninety three reports were reviewed; among them 53 met the inclusion criteria and provided the necessary information on prevalence. The prevalence of poor knowledge was 29.3% in general population; GIF was 12% for injecting drug use outside prisons, and 16%- 75% for injecting drug use inside prisons. There was not sufficient information to calculate GIF for high-risk sexual behavior (sex work).Conclusion: Based on the systematic review, main research priorities for evidence-based decision making should help reaching a better understanding of the magnitude of injecting drug use and sex work in the country, incidence of HIV among these and other most-at-risk populations, and strengthen background evidence and cost-effectiveness of any preventive interventions, such as health communication and education programs and harm reduction measures.

In this paper, a new inequality for Generalized convex functions which is related to the left side of Generalized Hermite-Hadamard type inequality is obtained. Some applications for some Generalized special means are also given.

Myelolipoma is a benign tumor originating from hematopoietic and adipose tissue. This tumor usually develops in the adrenal gland, but rare presentations of extraadrenal myelolipoma are also reported, which usually arise from the presacral region. Herein, we present a 6-year-old girl with myelolipoma with Generalized involvement of her abdomen, pelvis, chest, and retroorbital region.  

A. Csaszar introduced and extensively studied the notion of Generalized open sets. Following Csazar, we introduce a new notion superconnected. The main purpose of this paper is to study Generalized superconnected spaces. Various characterizations of Generalized superconnected spaces and preservation theorems are discussed.