Upcoming Talks

Speaker: Nasser Aghazadeh
Time: 30/06/2022, 10:30

Abstract: A novel technique has been introduced to solve the Emden-Fowler equations. It has been derived from the Taylor wavelets collocation (TWC) method. The proposed scheme has been successfully implemented in order to solve the singular equations. The singular problem becomes to a system of algebraic equations that can be solved numerically. Moreover, the technique is very effective to remove the strong singularity point at x = 0. The numerical experiments have been checked out with the exact and approximate solutions that have been achieved by other researchers including the Adomian decomposition method, Modified Homotopy Perturbation Method. Also, the error analysis of the technique has been considered.

Place: Online, Microsoft Teams ( You can join with the Team code: 5cu6s0o )

Speaker: Esen Aksoy
Title: Erdős Type Configuration Problems in Modules over Finite Rings
Time: 30/06/2022, 14:30

Abstract: In this talk we first describe the Erdős distance problem in the Euclidean setting. Then we present some recent results related to Erdős Type Configuration problems in Modules over Finite Rings.

Place: Online, Microsoft Teams ( You can join with the Team code: 5cu6s0o )

Speaker: Çiğdem Dinçkal
Title: Exact Dynamic Analysis of Micro/Nano Structures
Time: 01/07/2022, 11:00

Abstract: In this work, a general analytical solution of a nano scale vibration of micro/nano structures has been studied. A new finite element solution is proposed. This solution is exact and based Euler-Bernoulli beam theory. For this purpose, closed form solutions of frequency-dependent (dynamic) shape functions are explicitly derived. These functions can be employed to acquire analytic expressions for the coefficients of the dependent element stiffness matrix. Numerical results are exhibited to expound the effect of non-local behavior and size effects on the vibration of these structures. As a result of the comparison of the findings, it could be said that frequency is very dependent to material length scale parameters and nonlocal parameter. The rigidity resulting from consistent mass modeling gives greater value of frequencies as observed in the higher modes. Utilization of exact dynamic shape functions and stiffness terms ensures the formation of the proposed element that it is sufficient to obtain exact results. In other words, the present study requires only one element to obtain exact results.

Place: Online, Microsoft Teams ( You can join with the Team code: 5cu6s0o )