Analyzing the seismic response of nonlinear cable net structure by the linear response spectrum analysis method

Xiang, Yang; Luo, Yuanfang; Gao, Xixin; Shen, Zhao

doi:10.1177/1369433217713925

Cited by 12 publications

(1 citation statement)

References 27 publications

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“…The degree of structural nonlinearity is quantified via a modal pushover analysis. There are several variants of the modal pushover procedure in the literature, in this study, the one proposed by Xiang et al (2017Xiang et al ( & 2018) is adopted. Subjecting the structure to the static modal pushover load MSa(T1,ζ1)Γ1ϕ1 and MSa(T2,ζ2)Γ2ϕ2 for mode 1 and mode 2, respectively, the modal pushover curves are obtained (by plotting the equivalent pushover force Feq against the equivalent modal displacement deq), as shown in Fig.…”

Section: Modal Pushover Analysismentioning

confidence: 99%

Feasibility of a nonlinear spectral approach for peak floor acceleration of multi-story bilinear hysteretic buildings

Xiang

Zhang

Fei

et al. 2022

Bull Earthquake Eng

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To protect the acceleration-sensitive non-structural components in a multistory building, a proper seismic design of them against the peak floor acceleration (PFA) is needed. The PFA, therefore, should be estimated in advance. To efficiently estimate the PFA of multi-story buildings at the inelastic stage, a nonlinear modal combination approach is provided in this study. First, for the single-story building (single-degree-offreedom system), a PFA spectral ratio δ is proposed to measure the nonlinear reductions in PFA. A series of time history analysis (THA) revealed that there is a dependable relationship between the PFA spectral ratio δ, the strength reduction factor R, the postyield stiffness ratio α, and the period T of the structure. The scatter of δ is notably smaller than the ductility demand, showing the good feasibility of a δ-R-T-α relationship for predicting δ. Second, for the multi-story building (multi-degree-of-freedom system), the floor acceleration is decoupled in the modal space, the contribution of each mode to the elastic PFA is multiplied by δ to account for the nonlinear reduction in PFA at the inelastic stage. Here δ can be determined by an appropriate δ-R-T-α relationship, while R and α are determined via a modal pushover analysis. The modified modal contributions are combined via the complete-quadratic combination (CQC) rule, forming the modified CQC (MCQC) approach. The PFAs of some 2-, 5-, and 8-story building structures with different degrees of nonlinearity are computed via the THA and the MCQC approach.The results demonstrate the satisfactory accuracy of the MCQC approach. Notably, the effects of nonlinearities associated with the higher-order modes on the nonlinear PFA are well considered in the MCQC approach, thus the un-acceptable over-estimations of the inelastic PFA, which occurs in conventional methods, are avoided.

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Section: Modal Pushover Analysismentioning

confidence: 99%

Feasibility of a nonlinear spectral approach for peak floor acceleration of multi-story bilinear hysteretic buildings

Xiang

Zhang

Fei

et al. 2022

Bull Earthquake Eng

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An improved multidimensional modal pushover analysis procedure for seismic evaluation of latticed arch‐type structures under lateral and vertical earthquakes

Luo

Zhu

et al. 2019

Structural Design Tall Build

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Summary Pushover methods for seismic assessment of buildings under multidimensional earthquakes have been studied and retrofitted. However, these current methods are not suitable when applied to widely adopted arch‐type structures characterized by strong geometrical nonlinearity and coupling effects. An improved multidimensional modal pushover procedure with two‐stage analyses is proposed for seismic evaluation of latticed arches. Taking overall multidimensional response into consideration, modal stiffness of the equivalent single‐degree‐of‐freedom system is derived, and its capacity curve is determined during the first‐stage analysis. To provide a deformation profile with algebraic signs of response retained, the second‐stage analysis is conducted using the pushover load pattern derived from modal displacement superposition. The objective of the improved procedure is to overcome the drawback of the conventional modal pushover method, which describes the capacity curve resorting to base shear and roof displacement, and that of quadratic combination rules which eliminate the sign reversals of response. To validate its serviceability, nodal displacements and element stresses, as well as the yielding members, of two typical latticed arches are calculated. Through comparative analysis, the results by the improved procedure exhibit good agreement with those by response history analysis. Additionally, this procedure demonstrates great superiority over the conventional method for its satisfying accuracy.

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Design and analysis of nonlinear numerical algorithm for seismic response of structures based on HVSR algorithm

Wang,

Zhang

2023

Environ Sci Pollut Res

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Earthquakes are one of the main factors that cause structural disasters in current buildings. Under the action of earthquakes, adjacent building structures are generally in different vibration phases, and the structures are likely to collide with each other, and collisions may cause serious damage to the structure. In order to prevent damage to the designed buildings under certain earthquakes, this paper mainly focuses on the design and analysis of numerical algorithms for seismic nonlinear structural dynamic responses based on the HVSR algorithm. In the two-dimensional finite element analysis in this paper, the dam rockfill body adopts four-node isoparametric elements, and the equivalent linear model related to dynamic shear strain is used to reflect the dynamic nonlinear characteristics of the dam material. When the dynamic response is used as the constraint condition, the dynamic response can be used to judge whether the design variables meet the requirements; when the dynamic response is used as the optimization target, it is the optimization result of each step. Considering the importance of the instantaneous amplitude of acceleration response in the correction of nonlinear structure model.The acceleration response time series is divided into 15 time periods uniformly, and then the position corresponding to the peak point of the instantaneous amplitude in each time period is selected as the selected data point position. Apply the same seismic load to the bottom of the established nonlinear model, extract the dynamic response data of the top layer of the structure, and then extract the instantaneous amplitude of the main component of the structural dynamic response through the time-varying filter and Hilbert transform based on discrete analytical mode decomposition and the corresponding the instantaneous frequency. Under the action of these four ground motions, the collision force in the range of 0~50kN accounts for more than 87% of the total number of collisions. The results show that the HVSR algorithm can obtain the instantaneous characteristic parameters of the dynamic response of the nonlinear structure and realize the correction of the model.

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Analyzing the seismic response of nonlinear cable net structure by the linear response spectrum analysis method

Cited by 12 publications

References 27 publications

Feasibility of a nonlinear spectral approach for peak floor acceleration of multi-story bilinear hysteretic buildings

Feasibility of a nonlinear spectral approach for peak floor acceleration of multi-story bilinear hysteretic buildings

An improved multidimensional modal pushover analysis procedure for seismic evaluation of latticed arch‐type structures under lateral and vertical earthquakes

Design and analysis of nonlinear numerical algorithm for seismic response of structures based on HVSR algorithm

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