NONLINEAR TRANSIENT FINITE ELEMENT SIMULATIONS OF BEAM PARAMETRIC RESPONSE INCLUDING QUADRATIC DAMPING

Nonlinear parametric response of a flexible cantilever beam is simulated. In the simulations, lateral response of the beam due to an imposed axial harmonic base displacement excitation is calculated. The response frequency is approximately half the input frequency. The transient simulations include the assumption of damping proportional to the square of the velocity along the beam. Velocity-squared damping is realistic for situations in which fluid forces resisting the structural motion are significant. The commercial finite element software, ANSYS, is used to perform the simulations. A flexible method is developed and implemented in this work, based on the ANSYS Parametric Design Language, for including the quadratic damping assumption in the analysis. Variation of steady state response amplitude is examined for a range of quadratic damping coefficients over a range of axial base excitation frequencies. Further, a definition of phase angle of the response with the respect to the input is proposed for these nonlinear cases in which the input frequency is an integer multiple of the response frequency. The response phase with respect to excitation is studied over a range of damping coefficients and excitation frequencies. In addition, numerical solutions of nonlinear dynamic systems obtained from the implicit finite element method and the explicit dynamics finite element method are compared. The nonlinear dynamic systems considered are a flexible beam subjected to axial base excitation and also lateral excitations. The studies comparing explicit and implicit method results include cases of stress-stiffening and large deflections

Finite Element Modelling of Micro-cantilevers Used as Chemical Sensors

Nowadays, silicon micro-cantilevers with different geometrical shapes are widely used as micro-electro-mechanical systems and, more recently, as force sensor probes in atomic force microscopy (AFM). During the last ten years, several applications, which include these AFM micrometer-sized cantilevers as mass probes in microbalances or as chemical sensors in chemical micro-system devices, were developed. In the case of complex shapes of cantilevers, where the cross-section is not constant along the cantilever length (case of “V-shaped” micro-cantilevers), their resonant frequencies can not be analytically calculated. Firstly, in order to validate the accuracy of our FEM approach, we carried out a comparison between analytical, experimental and FEM-computed values of the resonant frequencies for homogenous rectangular shaped micro-cantilevers. Then, we performed a modeling of silicon beams coated with a thin sensitive layer (50 nm of Gold). To precisely calculate the resonant frequencies of these multilayer-cantilevers, the influence of the mesh parameters on the calculated frequencies was strongly investigated. Secondly, the sensitivity of different “V-shaped” silicon cantilevers was estimated, as a function of their geometrical dimensions and of their mechanical parameters (Young modulus, density). The resonant frequencies of uncoated cantilevers were calculated and compared with the values experimentally determined. Then, a similar approach was employed to predict the sensitivities of such cantilevers recovered with a sensitive layer

Modeling of Free Surface Flows with Elastic Bodies Interactions

In this paper, a series of new fluid and structure interactions test cases with strong free surface effects are presented and computations of such flows with the Particle Finite Element Method (PFEM) (Idelsohn, Oiiate, Del Pin and Calvo, 2006) are documented. The structures object of study are elastic cantilever bars clamped inside sloshing tanks subjected ro roll motion. The possibilities of PFEM for the coupled simulation of moderately violent free surface flows interacting with elastic bodies are investigated. The problem can be described as the coupling of a sloshing flow with an easily deformable elastic body. A series of experiments designed and executed specifically for these tests are also described. The experiments comprise cases with different liquid height and liquids of different viscosity. The aim is to identify canonical benchmark problems in FSI (Fluid and Structure Interactions), including free surfaces, for future comparisons between different numerical approaches

Seasonally Frozen Soil Effects on the Seismic Performance of Highway Bridges

INE/AUTC 12.0

Cantilever beam microactuators with electrothermal and electrostatic drive

Microfabrication provides a powerful tool for batch processing and miniaturization of mechanical systems into dimensional domain not accessible easily by conventional machining. CMOS IC process compatible design is definitely a big plus because of tremendous know-how in IC technologies, commercially available standard IC processes for a reasonable price, and future integration of microma-chined mechanical systems and integrated circuits. Magnetically, electrostatically and thermally driven microactuators have been reported previously. These actuators have applications in many fields from optics to robotics and biomedical engineering. At NJIT cleanroom, mono or multimorph microactuators have been fabricated using CMOS compatible process. In design and fabrication of these microactuators, internal stress due to thermal expansion coefficient mismatch and residual stress have been considered, and the microactuators are driven with electro-thermal power combined with electrostatical excitation. They can provide large force, and in- or out-of-plane actuation. In this work, an analytical model is proposed to describe the thermal actuation of in-plane (inchworm) actuators. Stress gradient throughout the thickness of monomorph layers is modeled as linearly temperature dependent Δσ. The nonlinear behaviour of out-of-plane actuators under electrothermal and electrostatic excitations is investigated. The analytical results are compared with the numerical results based on Finite Element Analysis. ANSYS, a general purpose FEM package, and IntelliCAD, a FEA CAD tool specifically designed for MEMS have been used extensively. The experimental results accompany each analytical and numerical work. Micromechanical world is three dimensional and 2D world of IC processes sets a limit to it. A new micromachining technology, reshaping, has been introduced to realize 3D structures and actuators. This new 3D fabrication technology makes use of the advantages of IC fabrication technologies and combines them with the third dimension of the mechanical world. Polycrystalline silicon microactuators have been reshaped by Joule heating. The first systematic investigation of reshaping has been presented. A micromirror utilizing two reshaped actuators have been designed, fabricated and characterized

Dynamic behavior of Sandwich Beam with Piezoelectric layers

Sandwich beams with composite faces sheets and foam core are widely used as lightweight components in many of the industries such as automotive, marine and aerospace applications due to its high bending stiffness and strength combined with low weight. Thus, it is important to gain knowledge of their flexural behavior under static as well as dynamic loads. Although extensive research has been devoted to the flexural behavior of composite laminates in general, the flexural behavior of sandwich structures is quite and obviously different. Several works treating the dynamic flexural behavior of sandwich beams have also confirmed the marked susceptibility of sandwich structures to damage caused by the low velocity impact of foreign objects. Impacts can damage the face sheets, the core material, and the core face interface. The type of damage usually found in the faces is similar to that observed after impacts on monolithic composites. However, the damage initiation thresholds and damage area depend on the properties of the core material and the relationship between the properties of the core and those of the face sheets.The modelling is done for sandwich beam with create volume option with dimensions known in the software

A comparative study on the free vibration characteristics of submerged pipe structures

This thesis investigates the free vibration characteristics of submerged pipe-like structures using multiple added mass approaches. Traditional methods rely on constant added mass factors, which may lack accuracy for complex structures, particularly those with bends and multi-plane topology. To address this, the coupled acoustic-structural approach (CASA) is employed to verify the natural frequencies of submerged structures. The simulated CASA results are compared with experimental data for verification. Four experiments involving different geometric objects are chosen—a straight pipe, cantilever plates, a stiffened cylindrical shell, and a disk. CASA accurately predicts the first three eigenvalues compared to experimental results. It successfully simulates bending, torsional, twisting, ovality, and stretching mode shapes, with less than ten per cent differences compared to experimental results. Furthermore, various added mass approaches are investigated and compared to the CASA results. These approaches include the lumped mass, increased density, nonstructural mass, and ABAQUS/Aqua. ABAQUS and MATLAB are utilized for eigenvalue and mode shape simulations. Shell, beam, and elbow elements are employed to model the structures in the added mass approaches, while solid elements are used in the CASA models. The investigation covers a straight pipe, two single-planar jumpers, and two multi-planar jumpers. The results indicate that adding mass to shell elements leads to inaccurate eigenvalue predictions compared to CASA. Torsional eigenvalues of the straight pipe and in-plane bending modes of single-planar jumpers cannot be correctly simulated using shell elements. However, shell elements perform well for lateral and out-of-plane bending modes. The results improve for multi-planar jumpers but still exhibit differences exceeding 16 per cent. On the other hand, adding mass with ABAQUS/Aqua to beam and elbow elements yields the most accurate results for single-planar jumpers, with differences compared to CASA below one per cent for all eigenfrequencies. For the straight pipe, it accurately predicts eigenfrequencies for both lateral bending and torsional modes. However, similar to shell elements, it encounters challenges in simulating multi-planar jumpers, accurately capturing eigenfrequencies for only one of the cases. Finally, a cost-effectiveness analysis is performed to assess the efficiency of different added mass approaches. Beam and elbow elements are thousands of times faster than CASA and several times faster than shell elements while demonstrating comparable memory usage. Additionally, the effects of added mass on bend ovalities are examined using CASA and the nonstructural mass approach. The eigenfrequencies exhibit slight increases due to thickness changes and significant decreases when the cross-section changes.Masteroppgave i havteknologiHTEK399MAMN-HTEK5MAMN-HTE

A picogram and nanometer scale photonic crystal opto-mechanical cavity

We describe the design, fabrication, and measurement of a cavity opto-mechanical system consisting of two nanobeams of silicon nitride in the near-field of each other, forming a so-called "zipper" cavity. A photonic crystal patterning is applied to the nanobeams to localize optical and mechanical energy to the same cubic-micron-scale volume. The picrogram-scale mass of the structure, along with the strong per-photon optical gradient force, results in a giant optical spring effect. In addition, a novel damping regime is explored in which the small heat capacity of the zipper cavity results in blue-detuned opto-mechanical damping.Comment: 15 pages, 4 figure

Active metamaterial devices at terahertz frequencies

Electromagnetic metamaterials have emerged as a powerful tool to tailor the electromagnetic material properties and control wave propagation using artificial sub-wavelength structures. During the past fifteen years, metamaterials have been intensively studied over the electromagnetic spectrum (from microwave to visible), giving rise to extraordinary phenomena including negative refractive index, invisibility cloaking, sub-diffraction-limit focusing, perfect absorption, and numerous novel electromagnetic devices and optical components. The terahertz regime, between 0.3 THz and 10 THz, is of particular interest due to its appealing applications in imaging, chemical and biological sensing and security screening. Metamaterials foster the development of terahertz sources and detectors and expand the potential applications of the terahertz technology through the realization of dynamic and tunable devices. The objective of this thesis is to present different mechanisms to implement active terahertz metamaterial devices by incorporating advanced microelectromechanical system technology. First, an optical mechanism is employed to create tunable metamaterials and perfect absorbers on flexible substrates. A semiconductor transfer technique is developed to transfer split ring resonators on GaAs patches to ultrathin polyimide substrate. Utilizing photo-excited free carriers in the semiconductor patches, a dynamic modulation of the metamaterial is demonstrated. Additionally, this thesis investigates how sufficiently large terahertz electric fields drive free carriers resulting in nonlinear metamaterial perfect absorbers. Second, a mechanically tunable metamaterial based on dual-layer broadside coupled split ring resonators is studied with the help of comb drive actuators. One of the layers is fixed while the other is laterally moved by an electrostatic voltage to control the interlayer coupling factors. As demonstrated, the amplitude and phase of the transmission response can be dynamically modulated. Third, a microcantilever array is used to create a reconfigurable metamaterial, which is fabricated using surface micromachining techniques. The separation distance between suspended beams and underlying capacitive pads can be altered with an electrostatic force, thereby tuning the transmission spectrum. The tuning mechanisms demonstrated in this thesis can be employed to construct devices to facilitate the development and commercialization of new compact and mechanically robust metamaterial-based terahertz technologies.2017-11-05T00:00:00

Active metamaterial devices at terahertz frequencies

Electromagnetic metamaterials have emerged as a powerful tool to tailor the electromagnetic material properties and control wave propagation using artificial sub-wavelength structures. During the past fifteen years, metamaterials have been intensively studied over the electromagnetic spectrum (from microwave to visible), giving rise to extraordinary phenomena including negative refractive index, invisibility cloaking, sub-diffraction-limit focusing, perfect absorption, and numerous novel electromagnetic devices and optical components. The terahertz regime, between 0.3 THz and 10 THz, is of particular interest due to its appealing applications in imaging, chemical and biological sensing and security screening. Metamaterials foster the development of terahertz sources and detectors and expand the potential applications of the terahertz technology through the realization of dynamic and tunable devices. The objective of this thesis is to present different mechanisms to implement active terahertz metamaterial devices by incorporating advanced microelectromechanical system technology. First, an optical mechanism is employed to create tunable metamaterials and perfect absorbers on flexible substrates. A semiconductor transfer technique is developed to transfer split ring resonators on GaAs patches to ultrathin polyimide substrate. Utilizing photo-excited free carriers in the semiconductor patches, a dynamic modulation of the metamaterial is demonstrated. Additionally, this thesis investigates how sufficiently large terahertz electric fields drive free carriers resulting in nonlinear metamaterial perfect absorbers. Second, a mechanically tunable metamaterial based on dual-layer broadside coupled split ring resonators is studied with the help of comb drive actuators. One of the layers is fixed while the other is laterally moved by an electrostatic voltage to control the interlayer coupling factors. As demonstrated, the amplitude and phase of the transmission response can be dynamically modulated. Third, a microcantilever array is used to create a reconfigurable metamaterial, which is fabricated using surface micromachining techniques. The separation distance between suspended beams and underlying capacitive pads can be altered with an electrostatic force, thereby tuning the transmission spectrum. The tuning mechanisms demonstrated in this thesis can be employed to construct devices to facilitate the development and commercialization of new compact and mechanically robust metamaterial-based terahertz technologies.2017-11-05T00:00:00