JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS
Year:2018 | Volume:4 | Issue:1|Papers Count:6

The present study investigates the buckling of a thick sandwich plate under the biaxial non-uniformcompression using the modified couple stress theory with various boundary conditions. For this purpose, the topand bottom faces are orthotropic graphene sheets and for the central core the isotropic soft materials areinvestigated. The simplified first order shear deformation theory (S-FSDT) is employed and the governingdifferential equations are obtained using the Hamilton’ s principle by considering the Von-Karman’ s nonlinearstrains. An analytical approach is applied to obtain exact results with different boundary conditions. Due to the factthat there is no research on the stability of micro/nano sandwich plates based on S-FSDT including the couple stresseffect, the obtained results are compared with the FSDT studies which use the Eringen nonlocal elasticity.

Bending, buckling and vibration behaviors of nonlocal Timoshenko beams are investigated in thisresearch using a variational approach. At first, the governing equations of the nonlocal Timoshenko beams areobtained, and then the weak form of these equations is outlined in this paper. The Ritz technique is selected toinvestigate the behavior of nonlocal beams with arbitrary boundary conditions along them. To find the equilibriumequations of bending, buckling, and vibration of these structures, an analytical procedure is followed. In order toverify the proposed formulation, the results for the nonlocal Timoshenko beams with four classical boundaryconditions are computed and compared wherever possible. Since the Ritz technique can efficiently model the nanosizedstructures with arbitrary boundary conditions, two types of beams with general boundary conditions areselected, and new results are obtained.

This paper is an attempt to determine quasi-static thermal stresses in a thin elliptical plate which issubjected to transient temperature on the top face with zero temperature on the lower face and the homogeneousboundary condition of the third kind on the fixed elliptical curved surface. The solution to conductivity equation iselucidated by employing a classical method. The solution of stress components is achieved by using Goodier’ s andAiry’ s potential function involving the Mathieu and modified functions and their derivatives. The obtainednumerical results are accurate enough for practical purposes, better understanding of the underlying elliptic object, and better estimates of the thermal effect on the thermoelastic problem. The conclusions emphasize the importanceof better understanding of the underlying elliptic structure, improved understanding of its relationship to circularobject profile, and better estimates of the thermal effect on the thermoelastic problem.

In this paper, buckling and free vibration analysis of a circular tapered nanoplate subjected to in-planeforces were studied. The linear variation of the plate thickness was considered in radial direction. Nonlocalelasticity theory was employed to capture size-dependent effects. The Raleigh-Ritz method and differentialtransform method were utilized to obtain the frequency equations for simply supported and clamped boundaryconditions. To verify the accuracy of the Ritz method, the differential transform method (DTM) was also used todrive the size-dependent natural frequencies of circular nanoplates. Both methods reported good results. Thevalidity of solutions was performed by comparing the present results with those of the literature for both classicalplate and nanoplate. The effects of nonlocal parameter, mode number, and taper parameter on the natural frequencywere investigated. The results showed that increasing the taper parameter causes increasing of buckling load andnatural frequencies, and its effects on the clamped boundary condition is more than the simply support.

The main objective of this study is to reduce the retrieval time of a list of products by choosing the bestcombination of storage and retrieval rules at any time. This is why we start by implementing some storage rules inan Automated Storage/Retrieval System (Automated Storage and Retrieval System: AS/RS) fitted with a gravityconveyor while some of these rules are dedicated to storage and others to retrieval. The system is seen as a Multi-Agent System (MAS) where the produced agents are reactive agents that can interact to achieve a behavior(organizing the store). Our MAS is characterized by a decentralized control, which means that there is no presetplan. The produced agents exchange information such as their color, their distance from the output station, etc. Each product merely applies a set of behavioral rules. The aim is to choose the best product to be retrieved in theshortest possible time. The product-type agents have no cognitive ability, but still perform complex tasks.

In this work, characteristics of various ball bearing parameters are studied under different loads androtational speeds. By using Dimensional Analysis (DA), dimensionless parameters are computed which providessolution for a group of parameters. This analysis can be accomplished by using the Buckingham π-theorem. DAleads to reduction of the number of independent parameters involved in a problem. These independent parametersget expressed as dimensionless groups. These dimensionless groups are always ratios of important physicalquantities involved in the problem of interest. In modeling and experimentation, its main function is to reduce theamount of independent variables, simplify the solution, and generalize the results. It becomes an effective method, especially if a complete mathematical model of the investigated process is not known. Moreover, in the presentwork the Buckingham π-theorem is applied to find the influencing parameter π 5 by using the Taguchi method.