Dynamics of Structures

Clough, Ray W.; Penzien, Joseph; Griffin, D. S.

doi:10.1115/1.3424082

Cited by 670 publications

(987 citation statements)

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“…Finally, as a verification of the resonant frequency results, we find that the value in Fig. 4a for the case r = ζ = 0 (i.e., the starting value of the upper curve) is given by λres = 1.8751, which agrees with the well-known eigenvalue for an Euler-Bernoulli beam in vacuum [16].…”

Section: Resonant Frequencysupporting

confidence: 70%

Timoshenko Beam Model for Lateral Vibration of Liquid-Phase Microcantilever-Based Sensors

Schultz

Heinrich

Josse

et al. 2013

MEMS and Nanotechnology, Volume 5

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Abstract:Dynamic-mode microcantilever-based devices are potentially well suited to biological and chemical sensing applications. However, when these applications involve liquid-phase detection, fluid-induced dissipative forces can significantly impair device performance. Recent experimental and analytical research has shown that higher in-fluid quality factors (Q) are achieved by exciting microcantilevers in the lateral flexural mode. However, experimental results show that, for microcantilevers having larger width-tolength ratios, the behaviors predicted by current analytical models differ from measurements. To more accurately model microcantilever resonant behavior in viscous fluids and to improve understanding of lateral-mode sensor performance, a new analytical model is developed, incorporating both viscous fluid effects and "Timoshenko beam" effects (shear deformation and rotatory inertia). Beam response is examined for two harmonic load types that simulate current actuation methods: tip force and support rotation. Results are expressed in terms of total beam displacement and beam displacement due solely to bending deformation, which correspond to current detection methods used with microcantilever-based devices (optical and piezoresistive detection, respectively). The influences of the shear, rotatory inertia, and fluid parameters, as well as the load/detection scheme, are investigated. Results indicate that load/detection type can impact the measured resonant characteristics and, thus, sensor performance, especially at larger values of fluid resistance.

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Section: Resonant Frequencysupporting

confidence: 70%

Timoshenko Beam Model for Lateral Vibration of Liquid-Phase Microcantilever-Based Sensors

Schultz

Heinrich

Josse

et al. 2013

MEMS and Nanotechnology, Volume 5

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“…Here, the horizontal seismic behavior of buildings is analyzed in terms of its lateral deformation response spectra (also called dynamic magnification factor [49]), defined as Abs[Ω 2 u/ω 2 u ff ], where Ω is the fundamental frequency of the fixed-base structure, ω is the excitation frequency and u ff is the horizontal free-field motion at the ground surface. The product of this value with the structural mass and the corresponding free-field horizontal acceleration at ground surface level yields the amplitude of the shear force at the base of the structure.…”

Section: Steady-state Responsementioning

confidence: 99%

Dynamic structure–soil–structure interaction between nearby piled buildings under seismic excitation by BEM–FEM model

Padrón

Aznárez

Maeso

2009

Soil Dynamics and Earthquake Engineering

115

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The dynamic through-soil interaction between nearby pile supported structures in a viscoelastic half-space, under incident S and Rayleigh waves, is numerically studied. To this end, a three-dimensional viscoelastic BEM-FEM formulation for the dynamic analysis of piles and pile groups in the frequency domain is used, where soil is modelled by BEM and piles are simulated by one-dimensional finite elements as Bernoulli beams. This formulation has been enhanced to include the presence of linear superstructures founded on pile groups, so that structure-soilstructure interaction (SSSI) can be investigated making use of a direct methodology with an affordable number of degrees of freedom. The influence of SSSI on lateral spectral deformation, vertical and rotational response, and shear forces at pile heads, for several configurations of shear one-storey buildings, is addressed. Maximum response spectra are also presented. SSSI effects on groups of structures with similar dynamic characteristics have been found to be important. The system response can be either amplified or attenuated according to the distance between adjacent buildings, which has been related to dynamic properties of the overall system.

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“…A detailed discussion about this property of the geometric stiffness matrix as well as a development of Eq. (1) can be found in Clough and Penzien [1]. Substitution of Eq.…”

Section: Structural Bucklingmentioning

confidence: 99%

“…1 In the case of an existing structure, the existing members are known. In the case of a new frame, the optimization procedure can begin with a single shape used for the columns and another shape used for the girders throughout the entire frame.…”

Section: Optimization Proceduresmentioning

confidence: 99%

Optimal design of planar frames based on approximate second-order analysis

Hernández‐Montes

Gil‐Martín²,

Aschheim³

2004

Engineering Optimization

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In the analysis of steel structures, several modern codes such as LRFD and Eurocode 3 provide for second-order approximate analysis. This paper presents a method of optimization for use in design that is directed toward improving the overall stability and strength of moment-resistant building frames. The method makes use of codified expressions for approximate second-order analysis. The objective function used in the optimization is the dominant eigenvalue of the linearized buckling problem. Only a first-order analysis is required, along with the calculation of the first eigenvalue of the linearized buckling problem of the structure. This new method provides a story by story procedure that is easily visualized. Several examples are provided to illustrate applications of the procedure.

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Dynamics of Structures

Cited by 670 publications

References 0 publications

Timoshenko Beam Model for Lateral Vibration of Liquid-Phase Microcantilever-Based Sensors

Timoshenko Beam Model for Lateral Vibration of Liquid-Phase Microcantilever-Based Sensors

Dynamic structure–soil–structure interaction between nearby piled buildings under seismic excitation by BEM–FEM model

Optimal design of planar frames based on approximate second-order analysis

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