Effect of damping model on pre-yielding earthquake response of structures

Val, Dimitri V.; Segal, Fred

doi:10.1016/j.engstruct.2005.06.018

Cited by 18 publications

(5 citation statements)

References 11 publications

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“…Hadjian (1982) showed for equivalent linear models of yielding systems having a similar ductility that the amount of damping produced by harmonic excitation is approximately five times greater than that of earthquake excitation. Val and Segal (2005) compared the seismic behavior of viscously damped SDOF systems with that of the same systems but with hysteretic damping subject to earthquake acceleration time-histories. Chopra (2012) for different values of ductility demands, calculated the effect of material yielding assuming elasto-plastic behavior and compared it with that of viscous damping for structural systems idealized as SDOF systems.…”

Section: Literature Review and Objectivesmentioning

confidence: 99%

“…Levy et al (2006) used an equivalent linearization approach to derive approximate harmonic equivalent stiffness and damping for bilinear systems in the context of earthquake-resistance systems. Val and Segal (2005) compared the seismic responses of viscously damped SDOF systems with the corresponding responses of the same systems but with hysteretic damping. Rivera et al ( 2014) evaluated the effect of the dissipated energy on the reduction of the seismic response of plane steel frames modeled as equivalent SDOF systems and MDOF systems.…”

Section: Literature Review and Objectivesmentioning

confidence: 99%

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Evaluating the Effect of Some Commonly Used Idealizations on the Nonlinear Seismic Response of Steel Buildings

Llanes-Tizoc,

Valenzuela-Beltrán,

Baca-Machado

et al. 2024

Preprint

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There have been significant advances concerning seismic analysis and design procedures for steel buildings. Emerging procedures as the performance-based seismic design and the resilient seismic design, are examples of such advances. However, there is a long road ahead before these new concepts can be widely accepted and implemented by structural engineers, government officials and owners. In addition, many simplifications are commonly adopted in seismic analysis, the effects of which on the seismic response, and consequently on the structural performance, are overlooked. Some of these issues are addressed in this paper. Toward this goal, the seismic responses of 3 models of moment-resisting steel frames subject to 20 strong motion records are estimated. Results indicate that the ductility reduction factors for SDOF systems can be up to 95% greater than those of MDOF systems. Bending moments on columns and interstory shears can be underestimated by up to about 30% and 15%, respectively, when using the lumped mass matrix formulation. Underestimates of up to 18% are observed for bending moments on beams if just one element is used to model the beams. Overestimates can be up to 210% for lateral damping forces when using the first two modes of lateral vibration to generate the Rayleigh damping matrix; underestimations of up to 40% are observed for axial loads and flexural moments, while those of lateral shears and drifts can be of up to 20%. The contribution of local rotations and vertical displacements modes to axial loads on columns can be up to 38%, while for bending moments, interstory shears and drifts it can be up to 18%. A damping ratio of 3% to express the yielding effect is very conservative; a value of 7% can be reasonably used. The above results clearly indicate that more accurate structural models (MASM) should be used. One of the justifications for not using more accurate structural models (MDOF systems, consistent mass matrix and the Superposition of the Modal Damping Matrices to derive the damping matrix) has been the high demand on computing time; using modern computers, however, this justification is no longer valid.

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Section: Literature Review and Objectivesmentioning

confidence: 99%

Section: Literature Review and Objectivesmentioning

confidence: 99%

Evaluating the Effect of Some Commonly Used Idealizations on the Nonlinear Seismic Response of Steel Buildings

Llanes-Tizoc,

Valenzuela-Beltrán,

Baca-Machado

et al. 2024

Preprint

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“…Figure 5 shows the force-displacement curve for evaluating the hysteretic energy dissipated by the U-shape landing gear structure during loading (skeleton) and unloading conditions. For the loading condition, the relationship between displacement (u) and force (fS) is written as [20]:…”

Section: Static Analysis Of Landing Gear Structurementioning

confidence: 99%

The Effect of Landing Gear Dimension Variation on the Static Strength and Dynamic Response of Unmanned Aerial Vehicle (UAV)

Son,

M. Rusli,

S.P. Putra

et al. 2023

Int. J. Automot. Mech. Eng.

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This research discusses the static and dynamic analysis of the landing gear structure of an unmanned aerial vehicle (UAV). The dimensional study is conducted to investigate the effect of landing gear dimension variation on UAVs’ static strength and dynamic response. Static analysis was performed with Finite Element Method (FEM) software. The dynamic response of the UAV is analyzed using a single-degree-of-freedom vibration model. Based on the static analysis results, the landing gear stiffness and strength can be increased by increasing the width and decreasing the height, radius, and length of the landing gear structure. The energy dissipation in the dynamic analysis is described by hysteresis and viscous damping model. The dynamic response simulation results show that the increase in the stiffness of the landing gear leads to an increase in force transmission and acceleration of the UAV. Furthermore, the UAV response using the viscous damping model can accurately predict the system’s response with the hysteretic damping model for small damping conditions. However, the deviation was observed for large damping conditions.

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“…The paper a simulation-b of a laboratory model as well w view of the av attempt is also etter prediction [2,3] . It These s using odel on control tent of mental ayleigh give a amping model cept is y slab i So, as depicted the whole problem is to calculate the control force required to reduce the amplitude of the frequency response function.…”

Section: Introductionmentioning

confidence: 99%

Effect of in-structure damping uncertainty on semi-active control performance: a modeling perspective

2013

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The mathematical model of a vibrating structure includes mass, damping and stiffness; out of which mass and stiffness could be defined as a function of the system geometry, whereas damping is more of an observed phenomenon. Despite having a large literature on the subject, the underlying physics is only known in a phenomenological ad-hoc manner, making damping an overall mystery in the general dynamic analysis of structures. A major reason of this could be the fact that there is no single universally accepted model for damping. Common practice is to use the classical viscous damping model originated by Rayleigh, through his famous 'Rayleigh dissipation function', with a preconceived damping ratio, irrespective of the purpose or type of analysis involved. This paper investigates the effect of this modelling uncertainty on the analytical prediction of the required control force in a semi-active control application for civil structures. Global classical Rayleigh damping models and global non-viscous damping models are used in the present study. Responses of a laboratory slab strip are simulated and are compared with experimental responses. The comparisons emphasises the fact that the choice of in-structure damping models has a significant effect in the computation of the required control force. The comparison also clearly indicates that mathematically sophisticated models have better prediction capability as compared to the classical Rayleigh model.Keywords: in-structure damping, Rayleigh damping, proportional damping, non-viscous damping, semi-active control INTRODUCTIONThe theory of vibration control as a field has been mainly researched and enriched by mechanical and aerospace engineers and its adoption in structural engineering is rather more recent. The last two decades have witnessed a plethora of application of passive devices in structural engineering. The uncertainty in the excitation sources and the necessity of real time adjustment of the structural dynamic parameters for optimal performance have necessitated the structural engineering community to delve into yet more novel approach of active and semi-active control. In comparison to passive, though active/semi-active applications are limited, the research community has now realised the potential of the active/semi-active techniques. Considerable research effort is presently being devoted in developing schemes for their adoption in structures.The benefits of any of the control strategies can only be fully realised if we are able to incorporate their effects from the design stage itself. As most of the large scale civil engineering structures are designed based on analytical predictions, the benefits of a control strategy can only be mobilised if the predicted analytical control force is close to what is required in reality. So for a proper prediction a good mathematical representation of the total system and a reliable response evaluation method is inevitable.By nature the vibration response is always associated with the phenomenon of damping; it could be...

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Effect of damping model on pre-yielding earthquake response of structures

Cited by 18 publications

References 11 publications

Evaluating the Effect of Some Commonly Used Idealizations on the Nonlinear Seismic Response of Steel Buildings

Evaluating the Effect of Some Commonly Used Idealizations on the Nonlinear Seismic Response of Steel Buildings

The Effect of Landing Gear Dimension Variation on the Static Strength and Dynamic Response of Unmanned Aerial Vehicle (UAV)

Effect of in-structure damping uncertainty on semi-active control performance: a modeling perspective

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