Vibrational analysis theory and application to elastic-viscoelastic composite structures

Chen, Qian; Zhu, De-Mao

doi:10.1016/0045-7949(90)90047-6

Cited by 13 publications

(10 citation statements)

References 2 publications

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“…Theoretical implications for the Maxwell model in structural dynamics are studied in details by many researchers (see, for example, 5, 6, 9). Extension of the Maxwell model is also underway to improve its accuracy in dealing with large structural systems 10.…”

Section: Model Manifestationmentioning

confidence: 99%

“…Using large energy dissipaters in these systems at the presence of flexibility in the structural mechanism that supports their reaction forces, makes the usual SDoF inaccurate in theoretical studies on behavior of such systems. Using SDoF models in the form of two or three element types Maxwell model is an approach to overcome some of the shortcomings of the SDoF model 5, 6. The use of two degrees of freedom model (2DoF in the form of shear type building) is also recommended as a substitute for SDoF models in representing structural systems with stiffness discontinuity (i.e.…”

Section: Introductionmentioning

confidence: 99%

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A model for Mass Isolation study in seismic design of structures

Ziyaeifar

Gidfar

Nekooei

2011

Struct. Control Health Monit.

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A variety of new approaches in seismic design of structures are based on improving the flexibility and energy dissipation potentials of the system. In these approaches the existence of large energy dissipaters in the system and the structural mechanism that supports the reaction forces of these devices make the current single degree of freedom model inaccurate in analytical investigations on the behavior of such systems. In this work a two degrees of freedom model is introduced to improve the accuracy of such studies. The model is an extension of the Maxwell three element type model in structural dynamics. Non-classical Eigenanalyses on the model reveals the key role of energy-dissipating devices in the determination of main dynamic characteristics of such systems. A large number of dynamic time integration analyses subjected to earthquake motions were carried out on the model. In analyses, the model was proportioned in different configurations to exemplify short, medium height and tall buildings. Energy dissipation in the model was based on using viscous devices in the form of linear, nonlinear and controllable dashpots in all configurations. The results of analyses show the difference between structural performances of short and tall buildings in terms of damping capacity in the system. The results also provide an insight on the role of modern dashpot technologies in the design philosophy and structural performances of these highly damped structural systems.

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Section: Model Manifestationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A model for Mass Isolation study in seismic design of structures

Ziyaeifar

Gidfar

Nekooei

2011

Struct. Control Health Monit.

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“…Numerical stability and accuracy are evaluated considering the free vibration of the system expressed as Equation (11), where the external force f L> is equal to 0. First, let us express the equation of motion in the following recursive form using Equation (7a) or (9a), (11)}(13) as…”

Section: Analysis Processmentioning

confidence: 99%

“…Among the examples based on the "rst approach for the analysis of structures modelled as MDOF systems, Chen et al [11], have reported a method using a modal superposition analysis in the frequency domain through Laplace transformation. This method can be used to solve the equation of motion of the system including the Maxwell models; however, it is di$cult to deal with system non-linearity in the time domain.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of structures with Maxwell model

Hatada¹,

Kobori²,

Ishida³

et al. 2000

Earthquake Engng. Struct. Dyn.

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SUMMARYA numerical method has been developed for the dynamic analysis of a tall building structure with viscous dampers. Viscous dampers are installed between the top of an inverted V-shaped brace and the upper beam on each storey to reduce vibrations during strong disturbances like earthquakes. Analytically, it is modelled as a multi-degree-of freedom (MDOF) system with the Maxwell models. First, the computational method is formulated in the time domain by introducing a "nite element of the Maxwell model into the equation of motion in the discrete-time system, which is based on the direct numerical integration. Next, analyses for numerical stability and accuracy of the proposed method are discussed. The results show its numerical stability. Finally, the proposed method is applied to the numerical analysis of a realistic building structure to demonstrate its practical validity.

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“…Many works in the literature have reported various solutions for EVC structures with constant Poisson's ratio using conventional beam and plate continuum theory [5–8] and FE methods [9–15]. Lesieutre and Bianchini [14] introduced the idea of a decomposition of the constitutive equations to separate the elastic and anelastic displacement; this established a time domain model capable of dealing with linear viscoelasticity issues.…”

Section: Introductionmentioning

confidence: 99%

A Decomposition Method for the Analysis of Viscoelastic Structural Dynamics with Time‐Dependent Poisson's Ratio

Chen

Worden

2011

Strain

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This paper presents a decomposition method for the dynamic analysis of elastic–viscoelastic composite (EVC) structures with time‐dependent Poisson's ratio. The analysis splits the viscoelasticity matrix with time‐dependent Poisson's ratio into two matrices in a simple form in which the time‐dependent Poisson's ratio does not appear. The decomposition simplifies the process of dynamical analysis for EVC structures with time‐dependent Poisson's ratio. The approach also makes it possible to apply existing analysis methods for constant Poisson's ratio structures directly to structures with time‐dependent Poisson's ratio. Based on the numerical results of three case studies, it is found that the time‐dependent Poisson's ratio has little influence on the structure's natural frequencies and damping properties. Therefore, it could be concluded that the effect of time‐dependency in Poisson's ratio may be ignored in the EVC structural dynamic analysis without introducing notable errors.

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Vibrational analysis theory and application to elastic-viscoelastic composite structures

Cited by 13 publications

References 2 publications

A model for Mass Isolation study in seismic design of structures

A model for Mass Isolation study in seismic design of structures

Dynamic analysis of structures with Maxwell model

A Decomposition Method for the Analysis of Viscoelastic Structural Dynamics with Time‐Dependent Poisson's Ratio

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