Support node construction error analysis of a cable-strut tensile structure based on the reliability theory

2018 ◽  
Vol 21 (10) ◽  
pp. 1553-1561
Author(s):  
Lian-Meng Chen ◽  
Dong Hu ◽  
Wei-Feng Gao ◽  
Shi-Lin Dong ◽  
Yi-Yi Zhou ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Reliability Index ◽  
Limit State ◽  
Internal Force ◽  
Reliability Theory ◽  
Analysis Method ◽  
Error Sensitivity ◽  
Serviceability Limit State ◽  
Sensitivity Analysis Method ◽  
Error Sensitivity Analysis

A support node construction error sensitivity analysis was conducted, and the allowable value of node error was determined in this study based on the reliability theory and using the ANSYS software. First, the node construction error sensitivity analysis method was proposed based on Latin hypercube sampling, and detailed procedures were described. Then, a method for determining an allowable error value with a reliability index not less than 1.5, an internal force deviation of the cable not greater than 10%, and a normal serviceability limit state was presented. An exemplary tensile structure with different error distribution and error values was employed to verify the proposed method. Finally, a cable-strut tensile structure model with a diameter of 5.0 m was designed and fabricated. The research showed that different directions of the node construction error had different error sensitivities, and that each direction of the node error had different error sensitivities for different elements. The allowable node construction error can be obtained using a linear searching method with a reliability index not less than 1.5, an internal force deviation of the cable not greater than 10%, and a normal serviceability limit state. The theoretical results were generally consistent with the experimental results, which indicated that the proposed error sensitivity analysis method was accurate. Thus, this study has value for both theoretical research and engineering applications.

Numerical Analysis and Experimental Research on the Element-Length Error Sensitivity of the Cable-Bar Tensile Structure

2015 ◽  
Vol 744-746 ◽  
pp. 187-191
Author(s):  
Lian Meng Chen ◽  
Xi Guo Ye ◽  
Yi Yi Zhou ◽  
Yu Hong Cui
Keyword(s):  
Sensitivity Analysis ◽  
Numerical Analysis ◽  
Length Change ◽  
Experimental Results ◽  
Structure Model ◽  
Analysis Method ◽  
Ansys Software ◽  
Error Sensitivity ◽  
Sensitivity Analysis Method ◽  
Error Sensitivity Analysis

According to the element-length errors inevitably existing in the real cable-bar tensile structures, numerical analysis on the element-length error sensitivity was firstly carried out with the help of ANSYS software, where the element length change was simulated by imposing the temperature affection. Then a cable-bar tensile structure model with the diameter of 5.0m was designed and fabricated. The element-length errors were simulated by adjusting the element length and each member in one unit was elongated 3mm respectively to explore the error sensitivity of each kind of element. The numerical analysis and experimental results indicated that different element has different error sensitivity. The error sensitivity of the hoop cables was the most sensitive, the ridge cables and diagonal cables were lower and the struts were the lowest. The experimental results performed almost consistent with the analytical results, which indicated that the proposed error sensitivity analysis method is accurate and the design of the model is effective.

An Active Ease-Off Topography Modification Approach for Hypoid Pinions Based on a Modified Error Sensitivity Analysis Method

2019 ◽  
Vol 141 (9) ◽  
Author(s):  
G. Li ◽  
W. D. Zhu
Keyword(s):  
Sensitivity Analysis ◽  
Contact Point ◽  
Transmission Error ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Analysis Method ◽  
Error Sensitivity ◽  
Sensitivity Analysis Method ◽  
Tooth Surfaces ◽  
Error Sensitivity Analysis

A new active ease-off topography modification approach is proposed to improve the meshing performance of hypoid gears based on a fourth-order predesigned transmission error (PTE) model and a modified error sensitivity analysis method. Ease-off topography modifications that describe local deviations of pinion tooth surfaces can be conducted by converting the fourth-order PTE into equivalent deviations of pinion tooth surfaces. The modified error sensitivity analysis method is developed to investigate the effects of misalignments on the moving velocity of a contact point of a hypoid gear pair. The moving velocity of the contact point can describe transmission error (TE) curve shapes of ease-off tooth surfaces. The ease-off topography modification approach can achieve TE precontrol and modification curvature adjustment of the pinion for stable meshing performance of the hypoid gear pair. Moreover, pinion ease-off tooth surfaces are finished by a five-axis computer numerical control swarf-cutting machine tool. Swarf-cutting tests and TE measurement tests are conducted on hypoid gear pair specimens to demonstrate the feasibility and effectiveness of the proposed methodology.

Error-sensitivity analysis of hourglass worm gearing with spherical meshing elements

2013 ◽  
Vol 70 ◽  
pp. 91-105 ◽  
Author(s):  
Houjun Chen ◽  
Zhilan Ju ◽  
Chang Qu ◽  
Xiong Cai ◽  
Yan Zhang ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Error Sensitivity ◽  
Worm Gearing ◽  
Error Sensitivity Analysis

Efficient Sensitivity Analysis for Multibody Dynamics Systems Using an Iterative Steps Method With Application in Topology Optimization

2011 ◽  
Author(s):  
Guang Dong ◽  
Zheng-Dong Ma ◽  
Gregory Hulbert ◽  
Noboru Kikuchi ◽  
Sudhakar Arepally ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Topology Optimization ◽  
Multibody Dynamics ◽  
Optimization Problem ◽  
Finite Difference Methods ◽  
Analysis Method ◽  
Topology Optimization Problem ◽  
Design Variables ◽  
Sensitivity Analysis Method ◽  
Rotational Motions

Efficient and reliable sensitivity analyses are critical for topology optimization, especially for multibody dynamics systems, because of the large number of design variables and the complexities and expense in solving the state equations. This research addresses a general and efficient sensitivity analysis method for topology optimization with design objectives associated with time dependent dynamics responses of multibody dynamics systems that include nonlinear geometric effects associated with large translational and rotational motions. An iterative sensitivity analysis relation is proposed, based on typical finite difference methods for the differential algebraic equations (DAEs). These iterative equations can be simplified for specific cases to obtain more efficient sensitivity analysis methods. Since finite difference methods are general and widely used, the iterative sensitivity analysis is also applicable to various numerical solution approaches. The proposed sensitivity analysis method is demonstrated using a truss structure topology optimization problem with consideration of the dynamic response including large translational and rotational motions. The topology optimization problem of the general truss structure is formulated using the SIMP (Simply Isotropic Material with Penalization) assumption for the design variables associated with each truss member. It is shown that the proposed iterative steps sensitivity analysis method is both reliable and efficient.

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