Graphene has been widely and extensively used in mass sensing applications. The present study focused on exploring the use of single-layer graphene (SLG) and double-layer graphene (DLG) as sensing devices. The dynamic analysis of SLG and DLG with different boundary conditions (BDs) and length was executed using the atomistic finite element method (AFEM). SLG and DLG sheets were modelled and considered as a space–frame structure similar to a 3D beam. Spring elements (Combin14) were used to identify the interlayer interactions between two graphene layers in the DLG sheet due to the van der Waals forces. Simulations were carried out to visualize the behavior of the SLG and DLG subjected to different BDs and when used as mass sensing devices. The variation in frequency was noted by changing the length and applied mass of the SLGs and DLGs. The quantity of the frequency was found to be highest in the armchair SLG (6, 6) for a 50 nm sheet length and lowest in the chiral SLG (16, 4) for a 20 nm sheet length in the bridged condition. When the mass was 0.1 Zg, the frequency for the zigzag SLG (20, 0) was higher in both cases. The results show that the length of the sheet and the various mass values have a significant impact on the dynamic properties. The present research will contribute to the ultra-high frequency nano-resonance applications.

This manuscript deals with the investigation of double walled carbon nanocones for resonance based applications. Dynamic analysis of Double Walled Carbon Nanocones (DWCNCs) with cantilever boundary condition and different disclination angles of 60°, 120°, 180°, 240° and 300° has been done through atomistic molecular structure modeling. This analysis is performed to evaluate and identify the variation in stiffness’s exhibited by these nano devices when used for sensing applications. Pristine and Defective double walled nano cones have been analysed to study the effect of defect on the stiffness variation when used as sensing devices. Results suggest a considerable effect of disclination angle of nanocone on the exhibited frequency response. The results can be attributed to the fact that with the change in the disclination angle and defects there is a substantial amount of variation in the stiffness due to the change in the bond orientation of the nanocones.

Petri Nets have come to play an important role in modeling and analysis. In day manufacturing systems are very complex and need in depth analysis before implementing them. Various models have been proposed for the evaluation of these systems. Stochastic Petri nets are an emerging modeling tool for performance evaluation of manufacturing systems. Petri net based models are executable thus the performance measures can be obtained by direct simulation of the net the AGV system considered is for a job shop consisting of machines with an input and output buffer. The simulation module computes the probability p(i,j) of having j tokens in place p(i). The aim is to find out the minimum number of parts required to keep some level of throughput and to ensure allow completion time for the batch size considered. Deadlock is to be used clearing of machines or AGVs or buffers, and then restart of the system from an initial condition that is known to produce deadlock-free operation under nominal production conditions. The loss of production and the labor cost is reorganizing the system by proper design. In this paper the authors have developed a model for a manufacturing system with deadlock and analyzed it to generate the reachability tree using Petri net system. In this problem the system consists AGV, Machines and L/D station