A novel piecewise multivariate function approximation method via universal matrix representation

2013 ◽  
Vol 51 (7) ◽  
pp. 1784-1801 ◽  
Author(s):  
Süha Tuna ◽  
Burcu Tunga
Keyword(s):  
Approximation Method ◽  
Function Approximation ◽  
Matrix Representation ◽  
Multivariate Function

scholarly journals Identification of mechanical parameters of fiber-reinforced composites by frequency response function approximation method

2019 ◽  
Vol 103 (1) ◽  
pp. 003685041987803 ◽  
Author(s):  
Hui Li ◽  
PengCheng Xue ◽  
Wanchong Rong ◽  
XiaoPeng Li ◽  
BangChun Wen
Keyword(s):  
Frequency Response ◽  
Thin Plate ◽  
Response Function ◽  
Approximation Method ◽  
Function Approximation ◽  
Frequency Response Function ◽  
Fiber Reinforced Composites ◽  
Mechanical Parameters ◽  
Reinforced Composites ◽  
Fiber Reinforced

This article proposes frequency response function approximation method to identify mechanical parameters of fiber-reinforced composites. First, a fiber-reinforced composite thin plate is taken as a research object, and its natural characteristic and vibration response under pulse excitation are solved based on the Ritz method and mode superposition method, so that the theoretical calculation of frequency response function of such composite plates can be realized. Then, the identification principle based on frequency response function approximation method is illustrated and its correctness is validated by comparing with other published literature in the verification example, and the specific identification procedure is also proposed. Finally, frequency response function approximation method is applied in a study case, where the elastic moduli, Poisson’s ratios, and loss factors of the TC300 carbon/epoxy composite thin plate are identified, and the influences of boundary conditions, approximation points, total number of modes, and calculation step size on the identification accuracy and efficiency are discussed. It has been proved that the proposed method can identify mechanical parameters of fiber composite materials with high precision and efficiency.

A Randomized Algorithm for Multivariate Function Approximation

2017 ◽  
Vol 39 (3) ◽  
pp. A983-A1002 ◽  
Author(s):  
Yeonjong Shin ◽  
Dongbin Xiu
Keyword(s):  
Function Approximation ◽  
Randomized Algorithm ◽  
Multivariate Function

Approximation of the Temperature and Time Dependence of the Stress versus Rupture Life Curves by Power Functions

2010 ◽  
Vol 659 ◽  
pp. 385-391
Author(s):  
Zoltán Dudás
Keyword(s):  
Time Dependence ◽  
Power Function ◽  
Approximation Method ◽  
Function Approximation ◽  
Rupture Life ◽  
Measured Data ◽  
Time Dependent ◽  
Power Functions ◽  
Temperature Dependent

This paper explains and demonstrates an approximation method for the calculation of the stress values depending on the temperature and time, or time values depending on the stress and temperature using time dependent and temperature dependent power functions. The approximation is based on measured data and the paper shows the verification of the power function approximation.

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