Dynamic Analysis of Bridges Using the Finite Strip Method PDF Download

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Languages : en
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Author: Abdulkarim Hassan Ali
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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The dynamic analysis of highway bridges is very complex because of the interaction between the moving vehicle load and the bridge response. Analytical methods such as beam theory and orthotropic plate theory are applicable only to simple structures and highly simplified moving vehicle load models. The beam theory is applicable only to long and narrow bridges since it neglects the effect of transverse flexibility of the bridge. The orthotropic plate theory is only applicable to slab bridges under simple vehicle load models as complex vehicle models render the differential equation of equilibrium difficult or impossible to solve. The finite element method is a very powerful and versatile technique which can be applied to deal with any specific configuration of bridge structure, supports and vehicle load models. However, the efficiency of the method needs to be improved because the finite element solutions usually require too much computer time, too large core storage and too much data input. In addition to these deficiencies, in order to simulate the local of the moving concentrated wheel loads the finite element mesh should be refined in both directions. The finite strip method has already proven to be the most efficient numerical technique for the static analysis of bridges. In fact the method is even more efficient for dynamic analysis of bridges. The structure can be divided into a number of finite strips. In each strip the displacement components at any point are expressed in terms of the displacement parameters of nodal lines by means of simple polynomials in the transverse direction and a continuously differentiable smooth series in the longitudinal direction. Thus, the number of dimensions of the analysis is reduced by one. The minimum number of degrees of freedom along a nodal line in the finite strip method is equal to twice times the number of terms used in the series and this is normally much less than that for finite element method, which requires a minimum of three times the number of nodes along the same line. Hence the size and the bandwidth of the matrices are greatly reduced, and consequently it can be handled by personal computers and solved in much shorter time. In this study the finite strip method is applied to dynamic analysis of simply supported single span slab bridges, slab-on girder bridges, box girder bridges and multi-span bridges by using various vehicle load models. Harmonic analysis of beams is covered in Chapter Two as an introduction for the finite strip method. A FORTRAN computer program capable of analyzing all the topics covered in this thesis is also developed.

Author: M.S. Cheung
Publisher: CRC Press
ISBN: 9780419191506
Category : Architecture
Languages : en
Pages : 374

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In-depth, comprehensive and up-to-date information on the powerful finite strip method of analysis of bridges. It is in three parts. The first introduces the method and gives the necessary background. The second explains the evolution of the method and the third part provides detailed information on the application of the method to highway bridges.

Author: 楊崇孚
Publisher:
ISBN:
Category :
Languages : en
Pages : 147

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Author: Y. K. Cheung
Publisher: Elsevier
ISBN: 1483278549
Category : Technology & Engineering
Languages : en
Pages : 248

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Finite Strip Method in Structural Analysis is a concise introduction to the theory of the finite strip method and its application to structural engineering, with special reference to practical structures such as slab bridges and box girder bridges. Topics covered include the bending of plates and plate-beam systems, with application to slab-beam bridges; plane stress analysis; vibration and stability of plates and shells; and finite layer and finite prism methods. Comprised of eight chapters, this book begins with an overview of the theory of the finite strip method, highlighting the importance of the choice of suitable displacement functions for a strip as well as the formulation of strip characteristics. Subsequent chapters consider many different types of finite strips for plate and shell problems and present numerical examples. The extension of the finite strip method to three-dimensional problems is then described, with emphasis on the finite layer method and the finite prism method. The final chapter discusses some computer methods that are commonly used in structural analysis. A folded plate computer program is included for completeness, and a detailed description for a worked problem is also presented for the sake of clarity. This monograph will be of interest to civil and structural engineers.

Author: Wenchang Li
Publisher:
ISBN:
Category : Bridges
Languages : en
Pages : 304

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The analysis of highway bridges such as slab-on-girder bridges, box-girder bridges, cable-stayed bridges etc. is a very complicated undertaking. Analytical methods are applicable only for the simplest structures. Finite element method is the most powerful and versatile tool, which can be applied to analyze any types of bridge and any load cases. However, the efficiency of that method needs to be improved because the finite element solutions usually require too much computer time, too large core storage and too many input data.

Author: William Shelly Peterson
Publisher:
ISBN:
Category : Bridges
Languages : en
Pages : 352

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Author: Haoran Li
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Languages : en
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The finite strip method (FSM) is a very efficient numerical method employed for performing the structural analysis of slender structures, such as cable-stayed bridges; the strip discretization of the model allows for the usage of a lower number of degrees of freedom, in comparison with the finite element method (FEM), while, as it will be discussed in the current research, the results obtained from both methods are in relatively good agreement. Moreover, to address the latest developments in the area of smart construction materials used for long-span bridges, the fiber reinforced polymer (FRP) composites were implemented for the bridge deck modeling, as part of a hybrid composite FRP cable-stayed bridge, and an extend laminate integrated finite strip method (LFSM) was applied for estimating the static structural performance of the hybrid composite FRP long-span cable-stayed bridge under several concentrated and uniformly distributed loadings. The free vibrations analysis was conducted for the Kap Shui Mun Cable-stayed Bridge model, and the natural frequencies were compared with the ones obtained from an FE model of the same bridge. One of the advantages of using the integrated finite strip method is that number of vibration modes, which can be included in the dynamic analysis when the effect of a sweeping sinus and a seismic loading are investigated when a conventional FE analysis would fail to converge. The outcomes of this research will set the stage for the hybrid long-span cable-stayed bridges modeling by the laminate integrated finite strip method (LFSM) which is more efficient and straightforward than the finite element analysis, for performing the static, free vibration, time domain, and frequency domain analyses.

Author: Y. K. Cheung
Publisher: CRC Press
ISBN: 1000098966
Category : Technology & Engineering
Languages : en
Pages : 409

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The increase in the popularity and the number of potential applications of the finite strip method has created a demand for a definitive text/reference on the subject. Fulfilling this demand, The Finite Strip Method provides practicing engineers, researchers, and students with a comprehensive introduction and theoretical development, and a complete treatment of current practical applications of the method. Written by experts who are arguably the world's leading authorities in the field, The Finite Strip Method covers both the classical strip and the newly developed spline strip and computed shape function strip. Applications in structural engineering, with particular focus on practical structures such as slab-beam bridges, box girder bridges, and tall buildings are discussed extensively. Applications in geotechnology are also covered, as are recently formulated applications in nonlinear analysis. The Finite Strip Method is a unique book, supplying much-needed information by well-known and highly regarded authors.

Author: Hamidreza Naderian
Publisher:
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Languages : en
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To meet the economic, social and infrastructure needs of the community for safe and efficient transportation systems, long span bridges have been built throughout the world. Long span bridges are one of the most challenging kinds of structures in civil engineering. The cable-stayed bridges are of great interest mainly as an alternative and a more economic solution than the one of suspension bridges. In addition, the fiber reinforced polymer (FRP) composites are, nowadays, successfully used for constructing modern bridges, where the significant weight saving provides additional benefits. Because of the great flexibility, modern long-span cable-stayed bridges are usually very susceptible to dynamic loads especially to the earthquake and strong winds. Therefore, the earthquake-resistant and wind-resistant designs become one of key issues for successful construction of bridges. The objective of the present research is to develop a very efficient spline finite strip technique, for modelling and analysis of both conventional and hybrid FRP cable-stayed bridges. The study falls into the categories of bending, free vibration, seismic, and aerodynamic flutter analysis. The spline finite strip method (SFSM) is one of the most efficient numerical methods for structural analysis of bridges, reducing the time required for estimating the structural response without affecting the degree of accuracy. In the finite strip method, the degrees of freedom could be significantly reduced due to the semi-analytical nature of this method. However, the previous versions of SFSM are not able to model the entire bridge system. For that reason, the structural interactions between different structural components of the bridge could not be handled. In addition, the vibrations and displacements of the towers and cables could not be investigated. In the present formulation, all these obstacles have been eliminated. Moreover, the proposed finite strip technique is very efficient and accurate due to the drastic reduction in the formulation time, simplicity of data preparation, rapid rate convergence of the results, and the semi-analytical nature. Last but not least, and for the first time, a fully finite strip solution is extended to the area of wind engineering. Using the spline finite strip discretization, the aerodynamic stiffness and mass properties of the long-span cable-stayed bridge are derived. The aerodynamic properties along with the structural properties of long-span plates and bridges are formulated in the aerodynamic equation of motion and are used to analyze the flutter problem. The accuracy and efficiency of the proposed advanced finite strip method is verified against the finite element and field measurement results. The results demonstrate that this methodology and the associated computer code can accurately predict the dynamic and aerodynamic responses of the conventional and FRP long-span cable-stayed bridge systems. The outcome of the present research will lead to a comprehensive structural analysis of bridges in the framework of the proposed discretization which is more efficient and straightforward than the finite element analysis.