scholarly journals An Efficient Simultaneous Design of Location and Cross-Sectional Shape of a Frame Structure by an Incline Allocation of Resources Using First Order Sensitivity Analysis.

2003 ◽  
Vol 69 (680) ◽  
pp. 1044-1050
Author(s):  
Sei-ichiro SAKATA ◽  
Fumihiro ASHIDA ◽  
Masaru ZAKO ◽  
Naokazu HORINOKUCHI
Keyword(s):  
Sensitivity Analysis ◽  
Frame Structure ◽  
Allocation Of Resources ◽  
Cross Sectional ◽  
First Order ◽  
Simultaneous Design ◽  
Sectional Shape

scholarly journals Sensitivity analysis of free torsional vibration frequencies of thin-walled laminated beams under axial load

2019 ◽  
Vol 32 (5) ◽  
pp. 1347-1356 ◽  
Author(s):  
Czesław Szymczak ◽  
Marcin Kujawa
Keyword(s):  
Sensitivity Analysis ◽  
Cross Section ◽  
Torsional Vibration ◽  
Volume Fraction ◽  
Fibre Volume Fraction ◽  
Vibration Frequencies ◽  
Cross Sectional ◽  
First Order ◽  
Thin Walled ◽  
Frequency Changes

AbstractThe paper addresses sensitivity analysis of free torsional vibration frequencies of thin-walled beams of bisymmetric open cross section made of unidirectional fibre-reinforced laminate. The warping effect and the axial end load are taken into account. The consideration is based upon the classical theory of thin-walled beams of non-deformable cross section. The first-order sensitivity variation of the frequencies is derived with respect to the design variable variations. The beam cross-sectional dimensions and the material properties are assumed the design variables undergoing variations. The paper includes a numerical example related to simply supported I-beams and the distributions of sensitivity functions of frequencies along the beam axis. Accuracy is discussed of the first-order sensitivity analysis in the assessment of frequency changes due to the fibre volume fraction variable variations, and the effect of axial loads is discussed too.

Biomimetic Studies of the Beetle Forewing in China

2013 ◽  
Vol 461 ◽  
pp. 128-143 ◽  
Author(s):  
Cheng Lin He ◽  
Jin Xiang Chen
Keyword(s):  
Cross Sections ◽  
Biological Significance ◽  
Frame Structure ◽  
Tensile Fracture ◽  
Variable Cross ◽  
Cross Sectional ◽  
Chinese Scholars ◽  
Sectional Shape ◽  
Future Work ◽  
Fracture Morphologies

This report reviews biomimetic studies performed in China on the beetle forewing, noting that Chinese scholars studying bionics have substantially advanced various branches of biomimetic research in beetles. The report also proposes the development of branches of bionic research and establishes the foundation for corresponding experiments and theories. Then, using theA. dichotomaforewing as a an example, the cross-sectional shape, orientation of the laminated fiber layers, structure of the trabeculae, and respective mechanical properties of the forewing, as well as their biological significance, are reviewed. 1) The forewing has a lightweight border frame structure and an optimal design of variable cross-sections suitable for different positions, which achieves the specific second moment of inertia required for flight. 2) Due to the non-equiangular, laminated structure of the forewing, there are two types of tensile fracture morphologies: fiber breakage and residual bridging. This study demonstrates the anisotropy and the effectiveness of the forewings tensile strength by analyzing the orientation direction of the fibers. 3) The trabecular structure can be used to efficiently improve the peel resistance of the laminated composites. Based on the above points, possible directions for future work are also indicated in this paper.

scholarly journals Shallow stability and parameter sensitivity analysis of soil slope with frame protection under rainfall seepage

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Jifeng Lian ◽  
Jiujiang Wu
Keyword(s):  
Sensitivity Analysis ◽  
Construction Material ◽  
Calculation Model ◽  
Frame Structure ◽  
Orthogonal Experimental Design ◽  
Soil Slope ◽  
Cross Sectional ◽  
Stability Calculation ◽  
Rectangular Frame ◽  
Rainfall Seepage

AbstractFrame protection is a commonly used solution to maintain the shallow stability of soil slope under rainfall seepage. Currently, the frame structure's design is empirical, and its theoretical analysis method considering the influence of seepage is scarce. Based on the instability model of the infinite slope, the shallow stability calculation model of soil slope under the rectangular frame protection is established in this paper. The calculation results show that it is beneficial to maintain the shallow slope stability by reducing the skeleton spacing and increasing the cross-sectional size of the frame structure. Also, geometric parameters' sensitivity analysis of the frame structure is carried out based on the orthogonal experimental design methods. Therein, an optimal scheme evaluation function was constructed to balance the relationship between the safety factor and the construction material consumption. The calculation model and results included in this paper can guide the design of the rectangular frame protection to soil slope under rainfall seepage.

A Cross-Sectional Shape Multiplier Method for Two-Level Optimum Design of Frames

1990 ◽  
Author(s):  
Wenzhong Zhao ◽  
Shapour Azarm
Keyword(s):  
Optimum Design ◽  
Solution Procedure ◽  
Frame Structure ◽  
Multiplier Method ◽  
Configuration Design ◽  
Cross Sectional ◽  
Bottom Level ◽  
Frame Element ◽  
Sectional Shape ◽  
Monotonicity Analysis

Abstract In this paper, a new method for optimum design of frame structures is presented. The method is based on a hierarchical decomposition of the structure into two-levels, namely, the bottom- and the top-level. The bottom-level consists of several subproblems each dealing with the cross-sectional sizing of a given frame-element. The top-level consists of one subproblem which is formulated for configuration design of the frame structure. Since there may be a large number of frame elements, a new shape multiplier method has been developed to simplify the formulation of the bottom-level subproblems. Furthermore, a two-level solution procedure has been developed which first solves the bottom-level subproblems based on their monotonicity analysis. It then solves the top-level subproblem as it coordinates, based on a linear approximation, the solutions to the bottom-level subproblems. Three examples with increasing degree of difficulty are presented to demonstrate the effectiveness of the method.

A Cross-Sectional Shape Multiplier Method for Two-Level Optimum Design of Frames

1993 ◽  
Vol 115 (1) ◽  
pp. 132-142 ◽  
Author(s):  
Wenzhong Zhao ◽  
Shapour Azarm
Keyword(s):  
Optimum Design ◽  
Solution Procedure ◽  
Frame Structure ◽  
Multiplier Method ◽  
Configuration Design ◽  
Cross Sectional ◽  
Bottom Level ◽  
Frame Element ◽  
Sectional Shape ◽  
Monotonicity Analysis

In this paper, a new method for optimum design of frame structures is presented. The method is based on a hierarchical decomposition of the structure into two-levels, namely, the bottom- and the top-level. The bottom-level consists of several subproblems each dealing with the cross-sectional sizing of a given frame-element. The top-level consists of one subproblem which is formulated for configuration design of the frame structure. Since there may be a large number of frame elements, a new shape multiplier method has been developed to simplify the formulation of the bottom-level subproblems. Furthermore, a two-level solution procedure has been developed which first solves the bottom-level subproblems based on their monotonicity analysis. It then solves the top-level subproblem as it coordinates, based on a linear approximation, the solutions to the bottom-level subproblems. Three examples with increasing degree of difficulty are presented to demonstrate the effectiveness of the method.

Sizing Design Sensitivity Analysis of Dynamic Frequency Response of Vibrating Structures

1992 ◽  
Vol 114 (1) ◽  
pp. 166-173 ◽  
Author(s):  
Kyung K. Choi ◽  
Jae Hwan Lee
Keyword(s):  
Sensitivity Analysis ◽  
Frequency Response ◽  
Analysis Data ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Frame Structure ◽  
Cross Sectional ◽  
Design Variables ◽  
Sensitivity Analysis Method ◽  
Dynamic Frequency

A continuum design sensitivity analysis method of dynamic frequency response of structural systems is developed using the adjoint variable and direct differentiation methods. A variational approach with a non-selfadjoint operator for complex variable is used to retain the continuum elasticity formulation throughout derivation of design sensitivity results. Sizing design variables such as thickness and cross-sectional area of structural components are considered for the design sensitivity analysis. A numerical implementation method of continuum design sensitivity analysis results is developed using postprocessing analysis data of COSMIC/NASTRAN finite element code to get the design sensitivity information of displacement and stress performance measures of the structures. The numerical method is tested using basic structural component such as a plate supported by shock absorbers and a vehicle chassis frame structure for sizing design variables. Accurate design sensitivity results are obtained even in the vicinity of resonance.

On the cross-sectional shape of the cellulose crystallites in the tunicate Halocynthia papillosa

1990 ◽  
Vol 48 (3) ◽  
pp. 566-567
Author(s):  
J.-F. Revol ◽  
Y. Van Daele ◽  
F. Gaill
Keyword(s):  
Contrast Imaging ◽  
Animal Kingdom ◽  
Bright Field ◽  
Field Mode ◽  
Cross Sectional ◽  
Ultrathin Sections ◽  
The Cross ◽  
Sectional Shape ◽  
Valonia Ventricosa ◽  
C Nmr

The only form of cellulose which could unequivocally be ascribed to the animal kingdom is the tunicin that occurs in the tests of the tunicates. Recently, high-resolution solid-state l3C NMR revealed that tunicin belongs to the Iβ form of cellulose as opposed to the Iα form found in Valonia and bacterial celluloses. The high perfection of the tunicin crystallites led us to study its crosssectional shape and to compare it with the shape of those in Valonia ventricosa (V.v.), the goal being to relate the cross-section of cellulose crystallites with the two allomorphs Iα and Iβ.In the present work the source of tunicin was the test of the ascidian Halocvnthia papillosa (H.p.). Diffraction contrast imaging in the bright field mode was applied on ultrathin sections of the V.v. cell wall and H.p. test with cellulose crystallites perpendicular to the plane of the sections. The electron microscope, a Philips 400T, was operated at 120 kV in a low intensity beam condition.

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