Accurate Measurement on Cross Sectional Area of Single Filaments Using a Desktop SEM

2015 ◽  
Vol 1083 ◽  
pp. 111-117
Author(s):  
Xi Ying Yang ◽  
Ou Yang Ting ◽  
You Qing Fei

Cross sectional area of single filaments, a key parameter to characterize fiber properties, was experimentally studied using a desktop scanning electron microscope. Three different methods are employed based on the pixel area, averaged diameter and single diameter measurements, respectively. Results have shown that all three methods can achieve accurate measurement results once the axis of fiber sample is kept parallel to the electron beam. Significant errors are generated for the fiber samples with their axis tilted, which may frequently occur as a sample prepared. For circular fibers, a single diameter measured from tilted fibers is sufficient to determine their cross sectional area at high precision with COV values below 1.6%. By selecting an appropriate method, a desktop SEM can serve as a convenient and powerful tool for accurate determination of cross sectional area as well as morphological observation.

2020 ◽  
Vol 0 (4) ◽  
pp. 19-24
Author(s):  
I.M. UTYASHEV ◽  
◽  
A.A. AITBAEVA ◽  
A.A. YULMUKHAMETOV ◽  
◽  
...  

The paper presents solutions to the direct and inverse problems on longitudinal vibrations of a rod with a variable cross-sectional area. The law of variation of the cross-sectional area is modeled as an exponential function of a polynomial of degree n . The method for reconstructing this function is based on representing the fundamental system of solutions of the direct problem in the form of a Maclaurin series in the variables x and λ. Examples of solutions for various section functions and various boundary conditions are given. It is shown that to recover n unknown coefficients of a polynomial, n eigenvalues are required, and the solution is dual. An unambiguous solution was obtained only for the case of elastic fixation at one of the rod’s ends. The numerical estimation of the method error was made using input data noise. It is shown that the error in finding the variable crosssectional area is less than 1% with the error in the eigenvalues of longitudinal vibrations not exceeding 0.0001.


2007 ◽  
Vol 391 (1) ◽  
pp. 118-123 ◽  
Author(s):  
Jeremy McMinis ◽  
Rene Crombez ◽  
Eva Montalvo ◽  
Weidian Shen

Cellulose ◽  
2019 ◽  
Vol 26 (8) ◽  
pp. 4693-4706 ◽  
Author(s):  
Hangbo Yue ◽  
Juan C. Rubalcaba ◽  
Yingde Cui ◽  
Juan P. Fernández-Blázquez ◽  
Chufen Yang ◽  
...  

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