The line spring model with arbitrary loads on crack surfaces and its applications in thermal shock analysis

1990 ◽  
Vol 6 (3) ◽  
pp. 248-255 ◽  
Author(s):  
Fan Xuejun ◽  
Yu Shouwen ◽  
Hwang Kehchih
Keyword(s):  
Thermal Shock ◽  
Spring Model ◽  
Line Spring Model

Vibration analysis of edge-cracked beams using a line-spring model

1998 ◽  
Vol 59 (3) ◽  
pp. 403-409 ◽  
Author(s):  
T. Yokoyama ◽  
M.-C. Chen
Keyword(s):  
Vibration Analysis ◽  
Spring Model ◽  
Line Spring Model ◽  
Cracked Beams

scholarly journals Dynamic line-spring model for the simplified elastic analysis of the impact response of a 3-D surface crack.

1989 ◽  
Vol 55 (516) ◽  
pp. 1817-1823 ◽  
Author(s):  
Hiroyuki ABE ◽  
Yasuhiro SASAGE ◽  
Masumi SAKA
Keyword(s):  
Surface Crack ◽  
Impact Response ◽  
Elastic Analysis ◽  
Spring Model ◽  
Line Spring Model ◽  
The Impact

On the combination of the boundary element method and nonlinear line-spring model

1987 ◽  
Vol 34 (3) ◽  
pp. R43-R48 ◽  
Author(s):  
Noriyuki Miyazaki ◽  
Toru Ikeda ◽  
Tsuyoshi Munakata
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Spring Model ◽  
Line Spring Model ◽  
Nonlinear Line ◽  
Element Method

Vibration Analysis of Non-Uniform Beams with an Arbitrary Number of Cracks

2006 ◽  
Vol 324-325 ◽  
pp. 303-306
Author(s):  
Zhi Gang Yu ◽  
Fu Lei Chu ◽  
Yue Cheng
Keyword(s):  
Analytical Solution ◽  
Vibration Analysis ◽  
Present Method ◽  
Dynamic Properties ◽  
Beam Element ◽  
Frequency Equation ◽  
Spring Model ◽  
Transfer Matrices ◽  
Vibration Equation ◽  
Line Spring Model

In this paper, a method is presented to facilitate the computation of dynamic properties of non-uniform beams with any number of cracks. Based on the Frobenius method, an analytical solution of vibration equation of non-uniform beams is obtained. In combination with the line spring model of crack, the transfer matrices for non-uniform beam element and crack are established respectively. Then the global transfer matrix can be simply formulated, from which the frequency equation in the form of 2×2 determinant is derived. Due to the decrease in the determinant order as compared with previously developed procedures, significant savings in the computational task would be achieved by the present method.

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