scholarly journals Numerical Analysis of Viscoelastic Rotating Beam with Variable Fractional Order Model Using Shifted Bernstein–Legendre Polynomial Collocation Algorithm

2021 ◽  
Vol 5 (1) ◽  
pp. 8
Author(s):  
Cundi Han ◽  
Yiming Chen ◽  
Da-Yan Liu ◽  
Driss Boutat
Keyword(s):  
Numerical Analysis ◽  
Fractional Order ◽  
Governing Equation ◽  
Numerical Solutions ◽  
Bernstein Polynomials ◽  
Matrix Product ◽  
Algebraic Equations ◽  
Rotating Beam ◽  
The Matrix ◽  
The Time Domain

This paper applies a numerical method of polynomial function approximation to the numerical analysis of variable fractional order viscoelastic rotating beam. First, the governing equation of the viscoelastic rotating beam is established based on the variable fractional model of the viscoelastic material. Second, shifted Bernstein polynomials and Legendre polynomials are used as basis functions to approximate the governing equation and the original equation is converted to matrix product form. Based on the configuration method, the matrix equation is further transformed into algebraic equations and numerical solutions of the governing equation are obtained directly in the time domain. Finally, the efficiency of the proposed algorithm is proved by analyzing the numerical solutions of the displacement of rotating beam under different loads.

scholarly journals Motility Improvement of Biomimetic Trachea Scaffold via Hybrid 3D-Bioprinting Technology

Polymers ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 971
Author(s):  
Young Soo Yu ◽  
Chi Bum Ahn ◽  
Kuk Hui Son ◽  
Jin Woo Lee
Keyword(s):  
Rotation Angle ◽  
Thick Layer ◽  
Cartilage Tissue ◽  
Soft Tissue Reconstruction ◽  
3D Bioprinting ◽  
Rotating Beam ◽  
Rotational Angle ◽  
Gelatin Hydrogel ◽  
Tissue Reconstruction ◽  
Neck Rotation

A trachea has a structure capable of responding to various movements such as rotation of the neck and relaxation/contraction of the conduit due to the mucous membrane and cartilage tissue. However, current reported tubular implanting structures are difficult to impelement as replacements for original trachea movements. Therefore, in this study, we developed a new trachea implant with similar anatomical structure and mechanical properties to native tissue using 3D printing technology and evaluated its performance. A 250 µm-thick layer composed of polycaprolactone (PCL) nanofibers was fabricated on a rotating beam using electrospinning technology, and a scaffold with C-shaped cartilage grooves that mimics the human airway structure was printed to enable reconstruction of cartilage outside the airway. A cartilage type scaffold had a highest rotational angle (254°) among them and it showed up to 2.8 times compared to human average neck rotation angle. The cartilage type showed a maximum elongation of 8 times higher than that of the bellows type and it showed the elongation of 3 times higher than that of cylinder type. In cartilage type scaffold, gelatin hydrogel printed on the outside of the scaffold was remain 22.2% under the condition where no hydrogel was left in other type scaffolds. In addition, after 2 days of breathing test, the amount of gelatin remaining inside the scaffold was more than twice that of other scaffolds. This novel trachea scaffold with hydrogel inside and outside of the structure was well-preserved under external flow and is expected to be advantageous for soft tissue reconstruction of the trachea.

Modeling and nonlinear dynamics analysis of a rotating beam with dry friction support boundary conditions

2021 ◽  
Vol 498 ◽  
pp. 115978
Author(s):  
Chaofeng Li ◽  
Xiaowen Liu ◽  
Qiansheng Tang ◽  
Zilin Chen
Keyword(s):  
Nonlinear Dynamics ◽  
Boundary Conditions ◽  
Dry Friction ◽  
Dynamics Analysis ◽  
Rotating Beam

scholarly journals Measurement of rotating beam vibration using optical (DIC) techniques

2017 ◽  
Vol 199 ◽  
pp. 477-482 ◽  
Author(s):  
Ahmed Yashar ◽  
Neil Ferguson ◽  
Maryam Ghandchi Tehrani
Keyword(s):  
Rotating Beam ◽  
Beam Vibration

scholarly journals Rotating-Beam Fatigue Strength of Pd40Cu30Ni10P20 Bulk Amorphous Alloy

1999 ◽  
Vol 40 (7) ◽  
pp. 696-699 ◽  
Author(s):  
Yoshihiko Yokoyama ◽  
Nobuyuki Nishiyama ◽  
Kenzo Fukaura ◽  
Hisakichi Sunada ◽  
Akihisa Inoue
Keyword(s):  
Fatigue Strength ◽  
Amorphous Alloy ◽  
Bulk Amorphous Alloy ◽  
Rotating Beam

Dynamic modeling of a rotating beam having a tip mass

2008 ◽  
Author(s):  
Shengjian Bai ◽  
Pinhas Ben-Tzvi ◽  
Qingkun Zhou ◽  
Xinsheng Huang
Keyword(s):  
Dynamic Modeling ◽  
Rotating Beam ◽  
Tip Mass

Response of a Rotating Beam Subject to an Accelerating Force

1991 ◽  
Author(s):  
A. Argento ◽  
R. A. Scott
Keyword(s):  
Constant Velocity ◽  
Integral Transforms ◽  
Beam Model ◽  
Rotating Beam ◽  
Velocity Function ◽  
Distributed Load ◽  
Fixed Direction ◽  
Convolution Integrals ◽  
Rotating Timoshenko Beam ◽  
Set Up

Abstract A method is given by which the response of a rotating Timoshenko beam subjected to an accelerating fixed direction force can be determined. The beam model includes the gyroscopically induced displacement transverse to the direction of the load. The solution for pinned supports is set up in general form using multi-integral transforms and the inversion is expressed in terms of convolution integrals. These are numerically integrated for a uniformly distributed load having an exponentially varying velocity function. Results are presented for the displacement under the load’s center as a function of position. Comparisons are made between the responses to a constant velocity load and a load which accelerates up to the same velocity.

scholarly journals A Newly Developed Multi-Harmonic Rotating Beam Fatigue Testing Machine

1965 ◽  
Vol 14 (138) ◽  
pp. 187-191 ◽  
Author(s):  
Minoru KAWAMOTO ◽  
Tsuneshichi TANAKA ◽  
Tetsuji INUFUSHI ◽  
Morio SEKI
Keyword(s):  
Fatigue Testing ◽  
Testing Machine ◽  
Rotating Beam
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