ACI Structural Journal
January 28, 2014
Title
Numerical Method of Concrete Structures
Abstract
The new calculating method provides a numerical method for the concrete structures.
Keywords: Numerical Method, Concrete Structures
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the pressure stress of concrete member can be defined by the pressure curve of the compression test, and the member breadth with the tiny pressure should integrate the compressive force with the compressive scope or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
January 30, 2014
Title
Numerical Method of Steel Structures
Abstract
The new calculating method provides a numerical method for the steel structures.
Keywords: Numerical Method, Steel Structures
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the stress of steel member can be defined by the steel test, and the member breadth with the tiny stress should integrate the compressive and tensional forces with its scopes or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
January 30, 2014
Title
Numerical Method of Titanium Structures
Abstract
The new calculating method provides a numerical method for the titanium structures.
Keywords: Numerical Method, Titanium Structures
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the stress of titanium member can be defined by the titanium test, and the member breadth with the tiny stress should integrate the compressive and tensional forces with its scopes or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
January 30, 2014
Title
Numerical Method of Aluminum Structures
Abstract
The new calculating method provides a numerical method for the aluminum structures.
Keywords: Numerical Method, Aluminum Structures
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the stress of aluminum member can be defined by the aluminum test, and the member breadth with the tiny stress should integrate the compressive and tensional forces with its scopes or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
January 30, 2014
Title
Numerical Method of Metal Structures with the Common Manufactured Sections
Abstract
The new calculating method provides a numerical method for the metal structures with the common manufactured sections.
Keywords: Numerical Method, Metal Structures
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the stress of metal member with the common manufactured section can be defined by the metal test, and the member breadth with the tiny stress should integrate the compressive and tensional forces with its scopes or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
February 4, 2014
Title
Numerical Method of Materials of Linear Stress-Strain
Abstract
The new calculating method provides a numerical method for the materials of linear stress-strain.
Keywords: Numerical Method, Linear Stress-Strain
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the materials of linear stress-strain can be defined by the pressure curve of the compression test, and the member breadth with the tiny pressure should integrate the compressive force with the compressive scope or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
February 4, 2014
Title
Numerical Method of Materials of Non-linear Stress-Strain
Abstract
The new calculating method provides a numerical method for the materials of non-linear stress-strain.
Keywords: Numerical Method, Non-linear Stress-Strain
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the materials of non-linear stress-strain can be defined by the pressure curve of the compression test, and the member breadth with the tiny pressure should integrate the compressive force with the compressive scope or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
February 11, 2014
Title
Numerical Mechanics
Abstract
The serial numerical methods are proposed by Ching-Min Huang, and the field is named the Numerical Mechanics to calculate the actual strength of structural members.
Keywords: Numerical Mechanics, Ching-Min Huang Mechanics
I. Methodology
After the serial numerical methods which adopt the Ching-Min Huang Mechanics are proposed by Ching-Min Huang, the field which has defined the whole scope is named the Numerical Mechanics to calculate the actual strength of structural members. In the Numerical Mechanics, the calculated data can be stored by the data type of double precision, and the truncation error should depend on the measurement of the numerical error to control the required precision which should be under 1E-6 at least. Whatever the stress curve of structural member is linear or non-linear, the curve-fitting (Wikipedia) of the stress curve can adopt the regression analysis (Wikipedia) to define the polynomial whose R-squared (Wikipedia) should be higher than 0.99 at least. In the specific area, the connection of structural members and structural load position may meet the stress concentration to lead the incorrect results of numerical calculations, and the stress measurement of the detail area should be adopted to define the specific problem which is possible solved by the additive structural element, the stiffening plate, for example. Besides, the thermal stress of structural member should also be defined by the experimental results, and the actual strength of structural member should consider the temperature variations which include the day and night, the summer and winter, and the fire prevention. Most of the formulas in the structural design codes can be replaced by the Numerical Mechanics, but the traditional formulas also have to be completed to establish the final versions of structural design codes as the references for the engineers.
References
Journal of Structural Engineering
February 11, 2014
Title
Comparison between the Numerical Mechanics and Finite Element Method
Abstract
The comparison between the Numerical Mechanics and Finite Element Method has proposed to explain the differences and mutual operation in coordination.
Keywords: Numerical Mechanics, Finite Element Method
I. Comparison between the Numerical Mechanics and Finite Element Method
The Numerical Mechanics has been defined several fields for the engineering applications, and the computational strength of the member adopts the stress curve to calculate the actual member strength. The Finite Element Method adopts the shape function to describe the element characteristics, but cannot obtain the actual member strength which is based on the inexact shape descriptions to simulate the structural behaviors. Besides, the finite element may have the small and large angles to form the inaccurate result from the Jacobian matrix, but the mesh generation technology has reduced the numerical errors as far as possible to establish an almost perfect result of mesh generation. In the engineering design, the Finite Element Method can still be adopted to calculate the static and dynamic results, and the Numerical Mechanics can calculate the actual member strength to design the structures with the structural reliability.
January 28, 2014
Title
Numerical Method of Concrete Structures
Abstract
The new calculating method provides a numerical method for the concrete structures.
Keywords: Numerical Method, Concrete Structures
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the pressure stress of concrete member can be defined by the pressure curve of the compression test, and the member breadth with the tiny pressure should integrate the compressive force with the compressive scope or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
January 30, 2014
Title
Numerical Method of Steel Structures
Abstract
The new calculating method provides a numerical method for the steel structures.
Keywords: Numerical Method, Steel Structures
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the stress of steel member can be defined by the steel test, and the member breadth with the tiny stress should integrate the compressive and tensional forces with its scopes or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
January 30, 2014
Title
Numerical Method of Titanium Structures
Abstract
The new calculating method provides a numerical method for the titanium structures.
Keywords: Numerical Method, Titanium Structures
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the stress of titanium member can be defined by the titanium test, and the member breadth with the tiny stress should integrate the compressive and tensional forces with its scopes or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
January 30, 2014
Title
Numerical Method of Aluminum Structures
Abstract
The new calculating method provides a numerical method for the aluminum structures.
Keywords: Numerical Method, Aluminum Structures
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the stress of aluminum member can be defined by the aluminum test, and the member breadth with the tiny stress should integrate the compressive and tensional forces with its scopes or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
January 30, 2014
Title
Numerical Method of Metal Structures with the Common Manufactured Sections
Abstract
The new calculating method provides a numerical method for the metal structures with the common manufactured sections.
Keywords: Numerical Method, Metal Structures
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the stress of metal member with the common manufactured section can be defined by the metal test, and the member breadth with the tiny stress should integrate the compressive and tensional forces with its scopes or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
February 4, 2014
Title
Numerical Method of Materials of Linear Stress-Strain
Abstract
The new calculating method provides a numerical method for the materials of linear stress-strain.
Keywords: Numerical Method, Linear Stress-Strain
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the materials of linear stress-strain can be defined by the pressure curve of the compression test, and the member breadth with the tiny pressure should integrate the compressive force with the compressive scope or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
February 4, 2014
Title
Numerical Method of Materials of Non-linear Stress-Strain
Abstract
The new calculating method provides a numerical method for the materials of non-linear stress-strain.
Keywords: Numerical Method, Non-linear Stress-Strain
I. Numerical Method
According to the concept of the Ching-Min Huang Mechanics, the materials of non-linear stress-strain can be defined by the pressure curve of the compression test, and the member breadth with the tiny pressure should integrate the compressive force with the compressive scope or integrate the bending moment with the distance from its position to the axle.
Journal of Structural Engineering
February 11, 2014
Title
Numerical Mechanics
Abstract
The serial numerical methods are proposed by Ching-Min Huang, and the field is named the Numerical Mechanics to calculate the actual strength of structural members.
Keywords: Numerical Mechanics, Ching-Min Huang Mechanics
I. Methodology
After the serial numerical methods which adopt the Ching-Min Huang Mechanics are proposed by Ching-Min Huang, the field which has defined the whole scope is named the Numerical Mechanics to calculate the actual strength of structural members. In the Numerical Mechanics, the calculated data can be stored by the data type of double precision, and the truncation error should depend on the measurement of the numerical error to control the required precision which should be under 1E-6 at least. Whatever the stress curve of structural member is linear or non-linear, the curve-fitting (Wikipedia) of the stress curve can adopt the regression analysis (Wikipedia) to define the polynomial whose R-squared (Wikipedia) should be higher than 0.99 at least. In the specific area, the connection of structural members and structural load position may meet the stress concentration to lead the incorrect results of numerical calculations, and the stress measurement of the detail area should be adopted to define the specific problem which is possible solved by the additive structural element, the stiffening plate, for example. Besides, the thermal stress of structural member should also be defined by the experimental results, and the actual strength of structural member should consider the temperature variations which include the day and night, the summer and winter, and the fire prevention. Most of the formulas in the structural design codes can be replaced by the Numerical Mechanics, but the traditional formulas also have to be completed to establish the final versions of structural design codes as the references for the engineers.
References
- Wikipedia, Curve fitting
- Wikipedia, Regression analysis
- Wikipedia, Coefficient of determination
Journal of Structural Engineering
February 11, 2014
Title
Comparison between the Numerical Mechanics and Finite Element Method
Abstract
The comparison between the Numerical Mechanics and Finite Element Method has proposed to explain the differences and mutual operation in coordination.
Keywords: Numerical Mechanics, Finite Element Method
I. Comparison between the Numerical Mechanics and Finite Element Method
The Numerical Mechanics has been defined several fields for the engineering applications, and the computational strength of the member adopts the stress curve to calculate the actual member strength. The Finite Element Method adopts the shape function to describe the element characteristics, but cannot obtain the actual member strength which is based on the inexact shape descriptions to simulate the structural behaviors. Besides, the finite element may have the small and large angles to form the inaccurate result from the Jacobian matrix, but the mesh generation technology has reduced the numerical errors as far as possible to establish an almost perfect result of mesh generation. In the engineering design, the Finite Element Method can still be adopted to calculate the static and dynamic results, and the Numerical Mechanics can calculate the actual member strength to design the structures with the structural reliability.
