A simplified method for seismic analysis of lattice telecommunication towers

2000 ◽  
Vol 27 (3) ◽  
pp. 533-542 ◽  
Author(s):  
Mohamed A Khedr ◽  
Ghyslaine McClure

A simplified static method for estimating the member forces in self-supporting lattice telecommunication towers due to both horizontal and vertical earthquake excitations is presented in this paper. The method is based on the modal superposition technique and the response spectrum approach, which are widely used for seismic analysis of linear structures. It is assumed that the lowest three flexural modes of vibration are sufficient to correctly estimate the tower's response to horizontal excitation, while only the lowest axial mode is sufficient to capture the response to vertical excitation. An acceleration profile along the height of the tower is defined using estimates of the lowest three flexural modes or the lowest axial mode, as appropriate, together with the spectral acceleration values corresponding to the associated natural periods. After the mass of the tower is calculated and lumped at the leg joints, a set of equivalent static lateral or vertical loads can be determined by simply multiplying the mass profile by the acceleration profile. The tower is then analyzed statically under the effect of these loads to evaluate the member forces. This procedure was developed on the basis of detailed dynamic analysis of ten existing three-legged self-supporting telecommunication towers with height range of 30-120 m. The maximum differences in member forces obtained with the proposed method and the detailed seismic analysis are of the order of ±25% in the extreme cases, with an average difference of ±7%. The results obtained for two towers with heights of 66 and 83 m are presented in this paper to demonstrate the accuracy and practicality of the proposed method.Key words: self-supporting tower, earthquake, vertical excitation, dynamic analysis.

2011 ◽  
Vol 110-116 ◽  
pp. 5240-5248
Author(s):  
Sujay Shelke ◽  
H.V. Vankudre ◽  
Vinay Patil

Typical seismic analysis using response spectrum method involves several steps from the initial step of extracting the modes. At the initial stage Eigen values are extracted corresponding to the modes of vibration. These give us Eigen vectors which are a series of relative displacement shapes; however these do not correspond to real displacements or stresses. Participation factors asses these Eigen vectors and grades them according to contribution they will have to the overall solution. Based on the spectral seismic acceleration, participation factor is used to calculate the mode coefficient, which is more of a scaling factor to give physical meaning to the values. Once the modes are extracted, the key issue is of combining these modes to obtain the seismic response. The modes cannot be added algebraically in reality as all the modes do not occur at the same time. Hence we employ methods which can add the modes in a more realistic manner. The objective of this paper is to do a comparative study of various mode combination methods with a focus on tank structures and study the effect of various geometrical parameters on the combination methods


2007 ◽  
Vol 34 (10) ◽  
pp. 1352-1363
Author(s):  
Rola Assi ◽  
Ghyslaine McClure

A simplified method is presented in this paper for the estimation of forces at the base of telecommunication towers mounted on building rooftops due to seismic excitation. Although some codes and standards propose simplified methods for the evaluation of base shear forces for towers founded on ground, no method yet exists for the evaluation of overturning moments. The proposed simplified method is based on numerical simulations using truncated modal superposition, which is widely used for seismic analysis of linear structures. The method requires the prediction of input seismic acceleration at the building–tower interface, the definition of an acceleration profile along the building-mounted tower, and the determination or evaluation of the mass distribution of the tower along its height. The method was developed on the basis of detailed dynamic analyses of three existing towers assumed to be mounted separately on three buildings. It was found that the method yields conservative results, especially for the overturning moments.Key words: self-supporting towers, earthquake, horizontal excitation, dynamic analysis, acceleration, modal superposition.


2019 ◽  
Vol 8 (4) ◽  
pp. 3416-3420

Equipments used at nuclear power plants require robust and reliable designs because in case of disaster, such as earthquake, small damage can turn into an unpredictable result. The analysis has been done using Finite Element Method (FEM), a common tool used for the analysis of structures. To conduct seismic analysis, it is necessary to perform modal analysis and calculate response spectrum from the Floor Response Spectrum. In the present project, data is obtained from the modal analysis using ANSYS software for panel assembly structure model. The Floor Response Spectrum (FRS) data for the geographical region where this structure will be mounted is collected. The collected data is given as input to response spectrum analysis where it subjected to these conditions. The output of this analysis determines whether the structure that has been designed is within the safety limit or not. In the present project a 3d model of the Electronic panel assembly structure is modeled using UNIGRAPHICS modeling software. The model is converted to parasolid and imported into Ansys. As a first step modal analysis has been performed to predict the fundamental frequency of the structure. Later dynamic analysis has been performed to evaluate the seismic response of the system under Operation Basis Earthquake (OBE). The response spectra used for OBE in X, Y, Z directions are given as input. The dynamic analysis has been performed to determine the stresses developed in the beam and results obtained have been compared to ASME standards. Based on the results obtained design optimization of the structure has been carried out.


1978 ◽  
Vol 100 (4) ◽  
pp. 425-427
Author(s):  
A. K. Gupta

The seismic analysis of complex piping systems is often carried out by the response spectrum method. The maximum probable responses are calculated as the square root of the sum of the squares (SRSS) of the responses obtained in various modes of vibration for the three components of earthquake. A coupling matrix is introduced in case of modes with closely spaced frequencies. The ASME strength criterion for the pipes is based on maximum shear stress which can be calculated from the two orthogonal bending moments and the torsional moment acting on the cross section. Strictly speaking, one should know the combination of these three moments acting simultaneously which would give the maximum shear stress at the section being designed. However, the response spectrum method gives the maximum probable values which in general do not occur simultaneously. Often the pipe is conservatively designed as if these probable maximum values were occurring simultaneously. It can be shown that this procedure may overestimate the maximum shear stress by as much as 73 percent. To overcome this problem a new method is applied by which simultaneous variation in the three moments can be predicted to cause the extreme probable effect. The new method is “exact” within the framework of existing procedures and assumptions.


2012 ◽  
Vol 39 (8) ◽  
pp. 867-877 ◽  
Author(s):  
Damien Gilles ◽  
Ghyslaine McClure

Structural engineers routinely use rational dynamic analysis methods for the seismic analysis of buildings. In linear analysis based on modal superposition or response spectrum approaches, the overall response of a structure (for instance, base shear or inter-storey drift) is obtained by combining the responses in several vibration modes. These modal responses depend on the input load, but also on the dynamic characteristics of the building, such as its natural periods, mode shapes, and damping. At the design stage, engineers can only predict the natural periods using eigenvalue analysis of structural models or empirical equations provided in building codes. However, once a building is constructed, it is possible to measure more precisely its dynamic properties using a variety of in situ dynamic tests. In this paper, we use ambient motions recorded in 27 reinforced concrete shear wall (RCSW) buildings in Montréal to examine how various empirical models to predict the natural periods of RCSW buildings compare to the periods measured in actual buildings under ambient loading conditions. We show that a model in which the fundamental period of RCSW buildings varies linearly with building height would be a significant improvement over the period equation proposed in the 2010 National Building Code of Canada. Models to predict the natural periods of the first two torsion modes and second sway modes are also presented, along with their uncertainty.


1999 ◽  
Author(s):  
S. A. Lipsey ◽  
Y. W. Kwon

Abstract Damage reduces the flexural stiffness of a structure, thereby altering its dynamic response, specifically the natural frequency, damping values, and the mode shapes associated with each natural frequency. Considerable effort has been put into obtaining a correlation between the changes in these parameters and the location and amount of the damage in beam structures. Most numerical research employed elements with reduced beam dimensions or material properties such as modulus of elasticity to simulate damage in the beam. This approach to damage simulation neglects the non-linear effect that a crack has on the different modes of vibration and their corresponding natural frequencies. In this paper, finite element modeling techniques are utilized to directly represent an embedded crack. The results of the dynamic analysis are then compared to the results of the dynamic analysis of the reduced modulus finite element model. Different modal parameters including both mode shape displacement and mode shape curvature are investigated to determine the most sensitive indicator of damage and its location.


Author(s):  
Ashutosh Shrivastava ◽  
Rajesh Chaturvedi

Nowadays, as in the urban areas the space available for the construction of buildings is limited. So in limited space we have to construct such type of buildings which can be used for multiple purposes such as lobbies, car parking etc. To fulfill this demand, high rise buildings is the only option available. The performance of a high rise building during strong earthquake motion depends on the distribution of stiffness, strength and mass along both the vertical and horizontal directions. If there is discontinuity in stiffness, strength and mass between adjoining storeys of a building then such a building is known as irregular building. The present study focuses on the seismic performance of regular and vertical irregular building with and without masonary infills. In the present study G+11 building is considered for the analysis with modelling and analysis done on ETABS software v17.0.1. The earthquake forces are calculated as per IS 1893 (part 1): 2016 for seismic zone III. The width of strut is calculated by using equivalent diagonal strut method. Total five models are considered for the analysis i.e. regular building with bare frame, regular building with masonary infill, soft storey building with open ground storey, mass irregular building with masonary infill and vertical geometric irregular building with masonary infill. The non-linear static analysis (pushover analysis) and linear dynamic analysis (response spectrum analysis) are performed for all the models and thereby compare their results. From analysis, the parameters like performance point, time period, maximum storey displacement, maximum storey drifts, storey shears and overturning moments are determined and also comparative study is done for all the models. From the comparison, it is observed that the vertical geometric irregular building shows better performance under seismic loading and bare frame building shows inferior performance. Moreover, the performance of masonary infilled frame building is f


Author(s):  
Ankit Kumar

Abstract: This study examines the composite structure that is increasing commonly in developing countries. For medium-rise to high-rise building construction, RCC structures is no longer economical due to heavy dead weight, limited span, low natural frequency and hazardous formwork. The majority of commercial buildings are designed and constructed with reinforced concrete, which largely depends on the existence of the constituent materials as well as the quality of the necessary construction skills, and including the usefulness of design standards. Conventional RCC structure is not preferred nowadays for high rise structure. However, composite construction, is a recent development in the construction industry. Concrete-steel composite structures are now very popular due to some outstanding advantages over conventional concrete and steel structures. In the present work, RCC and steel-concrete composite structure are being considered for a Dynamic analysis of a G+25-storey commercial building of uniform and optimized section, located at in seismic zone IV. Response Spectrum analysis method is used to analyze RCC and composite structure, CSI ETABS v19 software is used and various results are compared such as time period, maximum storey displacement, maximum storey stiffness. Maximum storey shear and maximum stoey overturning moment. Keywords: RCC Structure, Composite Structure, Uniform Section, Optimized Section, Shear Connector, Time Period, Storey Displacement, Storey Shear, Storey Stiffness, Response Spectrum method, ETABS


2011 ◽  
Vol 346 ◽  
pp. 58-62
Author(s):  
Pei Qiang ◽  
Ping Guan ◽  
Jing Tian ◽  
Er Liang Chen

Engineering characteristics of ground motion can be defined by three factors that are respectively amplitude, frequency and duration. Any one of them in isolation are not fully made known for the ground notions affecting on the structure. Response spectrum theory is one of the principal methods in seismic analysis. The maximum response of structure under earthquake input is only varying with period in traditional response spectrum during the whole time duration. The relationship between the maximum response and duration can not be shown in the response spectrum of earthquake. The concept of unsteady response spectrum is based on moveable spectrum in this paper. Based on the conventional response spectrum, the factor of time is taken into account in unsteady response spectrum research. Then the response spectrum can be studied according to time varying. As examples for strong motion records obtained from WenChuan earthquake, two methods are proposed to research the effect of duration on response spectrum. The result of unsteady response spectrum can play an important role in the further study of the structural failure mechanism and cumulative damage under earthquake loadings.


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