ボルト結合構造物の振動特性 : ボルトの径と接触面粗さの影響(振動)

Purpose – The purpose of this paper is to construct a continuous time series model to study the thermal creep of rough surfaces in contact.Design/methodology/approach – For normal loading, the contact between rough surfaces can often be modeled as the contact of an effective surface with a rigid fiat surface. A solution for the deformation of such equivalent surface, generated using fractal geometry, can be modified. However, in this study only the case of a single rough surface in contact with a rigid flat surface is considered. In the interface, the material is assumed to follow the idealized constitutive viscoelastic standard linear solid (SLS) model. Fractal geometry, through Cantor set theory, is utilized to model the roughness of the surface.Findings – An asymptotic time series power law is obtained, which associates the creep load, the buck temperature and the creep of the fractal surface.Originality/value – This law is only valid as long as the creep is of the size of the surface roughness. The mo...

Any engineering component possesses roughness on its surface when it is observed microscopically, including electrical connectors. Electrical connectors usually consist of a spring and a pin. In this study, the spring part is in the shape of a compliant curved beam whereas the pin one is of a flat form and these two parts are in contact during operation. This work presents a multi-physics (structural, electrical and thermal) finite element model of the bulk region of an electrical connector. The rough surfaces of the spring and pin parts are considered using a multi-scale sinusoidal rough surface (MSRS) contact model. The resulting coupled multi-physics connector model is used to analyze the performance of the connector while the applied current is incremented from 5 to 20 A. As expected, this produced a proportional rise in voltage drop and temperature across the bulk regions of the connector parts. The coupled multi-physics model together with the MSRS model should provide greater accuracy in the prediction of contact forces, electrical contact resistance (ECR) and thermal contact resistance (TCR). The present work also provides valuable information on stresses and strains distributions, current flow and temperature variations in the bulk regions of the electrical connector.

The paper investigates the influence of dynamic characteristics of building structures on the mechanisms of progressive collapse development. It is shown that natural frequencies, mode shapes, and damping levels significantly affect the propagation pattern of collapse following the initial failure of one or more load-bearing elements. Based on the obtained results, vulnerability assessment criteria are formulated that take into account the dynamic properties of structures. Purpose of the article. The purpose of this study is to establish the relationship between the dynamic characteristics of a structural system and the mechanisms of progressive collapse development. Special attention is given to the effect of natural frequencies, vibration modes, and damping level on the likelihood of structural excitation leading to instability or further collapse. Based on a numerical analysis of a steel-framed building, a direct relationship is demonstrated between local damage and the redistribution of stiffness in the structural system. The analysis of changes in dynamic characteristics makes it possible to identify potentially vulnerable zones with reduced resistance to progressive collapse. To assess collapse vulnerability, it is advisable to determine the first 3–5 natural frequencies and corresponding mode shapes, as well as damping properties. A significant reduction in stiffness leads to the localization of vibrations, increased amplitudes, and potential energy accumulation. If the system is unable to dissipate vibrations due to insufficient damping, cascading failure may occur. Critical warning signs include a frequency decrease of more than 30 %, an increase in deformation amplitude by over 50 %, the emergence of localized vibration modes, and a reduction in damping. Clarifications are proposed to the conditions of the energy-based approach for evaluating the propagation of progressive collapse, taking into account dynamic characteristics and the localization of deformations within vibration modes (i. e., structural vulnerability). The criteria for determining the dynamic coefficient are refined to consider the frequency spectrum and damping. Design tasks are formulated based on dynamic analysis to enhance resistance to progressive collapse. Conclusions. The use of dynamic coefficients (impact factors) recommended by building codes is justified but insufficient without considering the individual properties of the specific structure. The analysis of structural vibration modes can reveal potential weak spots where deformations and stresses are expected to be the highest. This is crucial for predicting the mechanisms of progressive collapse propagation. The results of this research can be applied in assessing the vulnerability of existing buildings and in designing new structures resistant to progressive collapse in accordance with modern safety requirements.

Static and dynamic characteristics of a compound sphere using Initial Stress Reference Independence

A synthesis of peak picking method and wavelet packet transform for structural modal identification

Purpose – This work aims at constructing a continuous mathematical, linear elastic, model for the thermal contact conductance (TCC) of two rough surfaces in contact. Design/methodology/approach – The rough surfaces, known to be physical fractal, are modelled using a deterministic Cantor structure. Such structure shows several levels of imperfections and including, therefore, several scales in the constriction of the flux lines. The proposed model will study the effect of the deformation (approach) of the two rough surfaces on the TCC as a function of the remotely applied load. Findings – An asymptotic power law, derived using approximate iterative relations, is used to express the area of contact and, consequently, the thermal conductance as a function of the applied load. The model is valid only when the approach of the two surface in contact is of the order of the surface roughness. The results obtained using this model, which admits closed form solution, are displayed graphically for selected values of the system parameters; the fractal surface roughness and various material properties. The obtained results showed good agreement with published experimental results both in trend and the numerical values. Originality/value – The model obtained provides further insight into the effect that surface texture has on the heat conductance process. The proposed model could be used to conduct an analytical investigation of the thermal conductance of rough surfaces in contact. This model, although simple (composed of springs), nevertheless works well.

An analytical method for free vibration of multi cracked and stepped nonlocal nanobeams based on wave approach

Crevice corrosion for dissimilar metal contacts is a key problem in engineering applications. This work has attempted to prevent the ingress of corrosive media into the crevice between aluminum alloy and copper by controlling the roughness (machining accuracy) of the contact surfaces. Both electrochemical and alternating dry/wet immersion tests were used to investigate the corrosion resistance of aluminum alloy–copper contacts with different contact surface roughness. Considering the relationship between the contact surface roughness and the liquid–solid contact angle and the crevice width, a finite element model based on fluid dynamics theory is established to analyze the effect of the contact surface roughness on the seawater infiltration depth in the contact crevice. The distribution of corrosion products on the aluminum alloy and copper surfaces is observed by optical microscope and scanning electron microscope. The phase composition of the corrosion products is analyzed by X‐ray diffraction technique. The results show that the corrosion resistance of the contact improves as the roughness of the contact surface decreases. This is attributed to the fact that the infiltration of seawater is retarded due to the decrease in the crevice width and increase in the contact angle with the decrease in the contact surface roughness.

Hilbert transform methods for nonparametric identification of nonlinear time varying vibration systems

Clamping effects on the dynamic characteristics of composite machine tool structures

In the present study, viscously damped free and forced vibrations of a rectangular membrane are investigated using a closed form exact method. The method is exact and yields closed form expressions for the vibratory displacements. This is in contrast with the well known eigenfunction superposition method which requires expressing the distributed forcing functions and the displacement response functions as infinite sums of free vibration eigenfunctions. Instead of undamped natural frequencies which are typically computed and applied in the free and forced vibrations, damped natural frequencies are done. The damped natural frequency equation and the critical viscous damping equation are exactly derived. In the damped free vibration, effects of viscous damping on natural frequencies and mode shapes are studied. Some contour plots of damped mode shapes are given. Accurate displacement amplitude vs. forcing frequency curves showing the forced response due to distributed loading are displayed.

A full-scale 3-D dynamic finite element (FE) model is created to solve the elastic-plastic wheel-rail rolling contact over rough surfaces under different friction forces. Both normal and tangential loads are applied properly. A bi-linear plastic material model is introduced and the real wheel and rail head geometries are simulated. The rolling of a drive wheel with full friction exploitation over a rough contact surface is analyzed in this paper. The stress distributions at the zone with rough surface are derived. From the results at a selected instant, it is found that roughness significantly increases the stress level of the surface layer. Furthermore, plasticity can greatly reduce stress peaks and change stress distributions. The maximum shear stress distribution at the rough surface is also analyzed to assess effects of roughness on fatigue crack initiation.

General systems have many substructures assembled at joints. The bolted joint is generally used in assembling the mechanical parts. However, there are no effective modeling methods to analyze the dynamic characteristics of bolt jointed structure using the finite element (FE) analysis, especially in case of large area contact. Moreover, the design methods for the appropriate bolt locations and the number of bolts considering the dynamic characteristics are not guided properly. In this study, a proper modeling method is developed to simulate the dynamic characteristics of a structure with the large interfaced area using the cone frusta method and spring elements. The natural frequencies are also controlled by adjusting the bolt-joint location and the number of bolts considering relative distances in mode shapes at the interface of bolt-jointed plates. The Modeling method and the optimized design method are verified based on the experimental and the FE analysis results.

Monitoring of civil structures is crucial for their proper functioning. Any crack in a structure changes its static and dynamic behaviours. To detect the damage/crack at the initiating time itself is challenging task in modern time. This paper describes an experimental study to extract the dynamic characteristics of a frame structure using piezo‐electric ceramic (PZT) transducers. Tests are conducted on steel frame to extract the natural frequencies and the experimental mode shapes. Free vibration response is first acquired in the time domain and then transformed into frequency domain using Fast Fourier Transforms (FFT) analyser. Only single PZT patch is sufficient to extract the first nine modes shape of the steel frame .By using numerical model, mode shapes are extracted corresponding to each identified natural frequency. After determining natural frequencies and experimental mode shape, damages can be located by method of Naidu and Soh (2004). This approach can be used for damage/crack detection at ver...

Phenomenological models reproducing the elasticity and acoustic properties of geomaterials and materials with damage have been successfully developed. These models yield macroscopic stress–strain constitutive equations featuring hysteresis with end-point memory, and predict the efficient generation of higher harmonics accompanying the propagation of monochromatic waves. The assumption common to these models is that the material’s microstructure is characterized by nonlinear compliant components of an unspecified nature which can exist in two states: “open” or “closed.” The density of the compliant units is defined on a mathematical continuum (the Preisach–Mayergoyz space) whose elements identify the dynamic behavior of the components. In this work, adhesion is shown to introduce hysteresis with end-point memory in the macroscopic behavior of an interface between two rough surfaces in contact, and, upon scattering, to generate higher harmonics bearing a striking similarity to those observed in wave propagation phenomena in media with distributed damage and in geomaterials. It appears, therefore, that two rough surfaces interacting via adhesion forces offer a meaningful example of macroscopic interface or bond with dynamics resembling that of the fictitious elements of the Preisach–Mayergoyz space, and acoustic nonlinear properties similar to those of rocks and damaged materials.