Topic
Space frame
About: Space frame is a research topic. Over the lifetime, 496 publications have been published within this topic receiving 4792 citations.
Papers published on a yearly basis
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Papers
Book•
1 Jan 1980
TL;DR: In this paper, the Flexibility Method for Framed Structures is presented, along with a detailed analysis of the stiffness matrix of the members of a plane truss and their corresponding rigidness matrix.
Abstract: 1 Basic Concepts of Structural Analysis.- 1.1 Introduction.- 1.2 Types of Framed Structures.- 1.3 Deformations in Framed Structures.- 1.4 Actions and Displacements.- 1.5 Equilibrium.- 1.6 Compatibility.- 1.7 Static and Kinematic Indeterminacy.- 1.8 Structural Mobilities.- 1.9 Principle of Superposition.- 1.10 Action and Displacement Equations.- 1.11 Flexibility and Stiffness Matrices.- 1.12 Equivalent Joint Loads.- 1.13 Energy Concepts.- 1.14 Virtual Work.- References.- Problems.- 2 Fundamentals of the Flexibility Method.- 2.1 Introduction.- 2.2 Flexibility Method.- 2.3 Examples.- 2.4 Temperature Changes, Prestrains, and Support Displacements.- 2.5 Joint Displacements, Member End-Actions, and Support Reactions.- 2.6 Flexibilities of Prismatic Members.- 2.7 Formalization of the Flexibility Method.- Problems.- 3 Fundamentals of the Stiffness Method.- 3.1 Introduction.- 3.2 Stiffness Method.- 3.3 Examples.- 3.4 Temperature Changes, Prestrains and Support Displacements.- 3.5 Stiffness of Prismatic Members.- 3.6 Formalization of the Stiffness Method.- Problems.- 4 Computer-Oriented Direct Stiffness Method.- 4.1 Introduction.- 4.2 Direct Stiffness Method.- 4.3 Complete Member Stiffness Matrices.- 4.4 Formation of Joint Stiffness Matrix.- 4.5 Formation of Load Vector.- 4.6 Rearrangement of Stiffness and Load Arrays.- 4.7 Calculation of Results.- 4.8 Analysis of Continuous Beams.- 4.9 Example.- 4.10 Plane Truss Member Stiffnesses.- 4.11 Analysis of Plane Trusses.- 4.12 Example.- 4.13 Rotation of Axes in Two Dimensions.- 4.14 Application to Plane Truss Members.- 4.15 Rotation of Axes in Three Dimensions.- 4.16 Plane Frame Member Stiffnesses.- 4.17 Analysis of Plane Frames.- 4.18 Example.- 4.19 Grid Member Stiffnesses.- 4.20 Analysis of Grids.- 4.21 Space Truss Member Stiffnesses.- 4.22 Selection of Space Truss Member Axes.- 4.23 Analysis of Space Trusses.- 4.24 Space Frame Member Stiffnesses.- 4.25 Analysis of Space Frames.- Problems.- 5 Computer Programs for Framed Structures.- 5.1 Introduction.- 5.2 FORTRAN Programming and Flow Charts.- 5.3 Program Notation.- 5.4 Preparation of Data.- 5.5 Description of Programs.- 5.6 Continuous Beam Program.- 5.7 Plane Truss Program.- 5.8 Plane Frame Program.- 5.9 Grid Program.- 5.10 Space Truss Program.- 5.11 Space Frame Program.- 5.12 Combined Program for Framed Structures.- References.- 6 Additional Topics for the Stiffness Method.- 6.1 Introduction.- 6.2 Rectangular Framing.- 6.3 Symmetric and Repeated Structures.- 6.4 Loads Between Joints.- 6.5 Automatic Dead Load Analysis.- 6.6 Temperature Changes and Prestrains.- 6.7 Support Displacements.- 6.8 Oblique Supports.- 6.9 Elastic Supports.- 6.10 Translation of Axes.- 6.11 Member Stiffnesses and Fixed-End Actions from Flexibilities.- 6.12 Nonprismatic Members.- 6.13 Curved Members.- 6.14 Releases in Members.- 6.15 Elastic Connections.- 6.16 Shearing Deformations.- 6.17 Offset Connections.- 6.18 Axial-Flexural Interactions.- 6.19 Axial Constraints in Frames.- References.- Problems.- 7 Finite-Element Method for Framed Structures.- 7.1 Introduction.- 7.2 Stresses and Strains in Continua.- 7.3 Virtual-Work Basis of Finite-Element Method.- 7.4 One-Dimensional Elements.- 7.5 Application to Framed Structures.- References.- General References.- Notation.- Appendix A. Displacements of Framed Structures.- A.1 Stresses and Deformations in Slender Members.- A.2 Displacements by the Unit-Load Method.- A.3 Displacements of Beams.- A.4 Integrals of Products for Computing Displacements.- References.- Appendix B. End-Actions for Restrained Members.- Appendix C. Properties of Sections.- Appendix D. Computer Routines for Solving Equations.- D.1 Factorization Method for Symmetric Matrices.- D.2 Subprogram FACTOR.- D.3 Subprogram SOLVER.- D.4 Subprogram BANFAC.- D.5 Subprogram BANSOL.- References.- Appendix E. Solution without Rearrangement.- Answers to Problems.- Order Form for Diskette.
206 citations
TL;DR: In this article, a geometric and material non-linear analysis procedure for framed structures is presented, using a solution algorithm of minimizing the residual displacements, which is the optimum in the Newton-Raphson scheme since it follows the shortest path to achieve convergence.
Abstract: A geometric and material non-linear analysis procedure for framed structures is presented, using a solution algorithm of minimizing the residual displacements. This new non-linear solution technique is believed to be the optimum in the Newton–Raphson scheme since it follows the shortest path to achieve convergence. The concept of the effective tangent stiffness matrix is introduced and is found to be efficient, simple and logical in handling the non-linear analysis of frames with braced members and in separating multiple bifurcation points.
199 citations
TL;DR: In this article, second-order plastic hinge analysis of three-dimensional space frame structures is proposed to predict the elastic buckling loads associated with axial-torsional and lateral torsional instabilities.
176 citations
TL;DR: In this paper, an explicit expression for the coupled bending and torsional dynamic stiffness matrix of a uniform beam element is derived by solving the governing differential equation of the beam element.
Abstract: Explicit expressions for the coupled bending–torsional dynamic stiffness matrix of a uniform beam element are derived in an exact sense by solving the governing differential equation of the beam. Implementation of the derived dynamic stiffness matrix in a space frame computer program is discussed with particular reference to an established algorithm to enable vibration analysis of coupled systems to be made. The application of the theory is demonstrated by an illustrative example wherein the results for a cantilever beam with a substantial amount of coupling between bending and torsion are highlighted. The correctness of the theory is confirmed to a high degree of accuracy by computed results and numerical checks.
165 citations
TL;DR: In this article, the authors present a state-of-the-art report on the use of Generalized Beam Theory (GBT) to assess the buckling behavior of plane and space thin-walled steel frames.
Abstract: This paper presents a state-of-the-art report on the use of Generalised Beam Theory (GBT) to assess the buckling behaviour of plane and space thin-walled steel frames After a very brief overview of the main concepts and procedures involved in performing a GBT buckling analysis, one addresses the development and numerical implementation of a GBT-based beam finite element formulation that is able (i) to unveil local, distortional and global buckling modes, (ii) to handle arbitrary loadings (namely those causing non-uniform member internal force and moment diagrams) and (iii) to incorporate the presence of several frame joint configurations and arbitrary end and/or intermediate support conditions (including those associated with the modelling of bracing systems) In particular, one describes the procedures employed to establish the frame linear and geometric stiffness matrices – special attention is paid to the constraint conditions adopted to ensure the local displacement compatibility at the frame joints The paper closes with the presentation and discussion of a number of numerical results that make it possible to illustrate the application and show the potential of the GBT-based approach to perform frame buckling analyses – they concern both plane and space frames In order to validate and assess the numerical efficiency and accuracy of the GBT analyses and results (critical buckling loads and mode shapes), the frames are also rigorously analysed in the commercial code A nsys – both the members and joints are discretised by means of fine shell finite element meshes
104 citations
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Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 10 |
| 2024 | 10 |
| 2023 | 18 |
| 2022 | 28 |
| 2021 | 5 |
| 2020 | 11 |