Topic
Added mass
About: Added mass is a research topic. Over the lifetime, 2849 publications have been published within this topic receiving 47899 citations.
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TL;DR: In this paper, an Euler-Bernoulli beam and a concentrated mass on this beam are considered as a beam-mass system, and the beam is supported by immovable end conditions, thus leading to stretching during the vibrations.
68 citations
TL;DR: In this article, the authors describe the characteristics of fluid forces and wake patterns of a circular cylinder oscillating in the streamwise direction in a cross-flow, on the basis of precise measurements and flow-visualizations in forced-oscillation tests in a water tunnel at subcritical Reynolds numbers.
68 citations
TL;DR: In this article, the hydrodynamic properties of a long rigid floating pontoon interacting with linear oblique waves in water of finite arbitrary depth are examined theoretically, and the flow is idealized as linearized, velocity potentials are expressed in the form of eigen-function expansions with unknown coefficients.
68 citations
TL;DR: In this paper, the Galerkin/least-squares (GLS) and pressure stabilized formulation (FPL) were proposed to circumvent the violation of the LBB condition by using the same interpolation functions for displacement and pore pressure fields.
66 citations
TL;DR: In this article, a mathematical framework based on nonlocal elasticity was proposed for the frequency shift due to the added mass based on four types of different mass loadings, and closed-form nonlocal equations were derived for frequency shift.
Abstract: Single layer graphene sheets (SLGS) as a nanoscale label-free mass sensor are proposed. A mathematical framework according to nonlocal elasticity is considered. The nonlocal elasticity incorporates the small-scale effects or nonlocality in the analysis. Rectangular graphene resonators are assumed to be in cantilevered configuration. Closed-form nonlocal equations are derived for the frequency shift due to the added mass based on four types of different mass loadings. From the potential and kinetic energy of the mass loaded graphene sheets, generalised nondimensional calibration constants are proposed for an explicit relationship among the added mass, nonlocal parameter and the frequency shift. These equations based on nonlocal elasticity in turn are used for sensing the added mass (e.g. adenosine bio-fragment). Molecular mechanics simulation is used to validate the new nonlocal sensor equations. The optimal values of span of nonlocal parameter are used and compared with the molecular mechanics simulation results. The nonlocal approach generally predicts the frequency shift accurately compared to the local approach in most cases. Numerical results show the importance of considering the distributed nature of the added mass while using the nonlocal theory. The performance of the sensor is governed on the spatial distribution of the attached mass on the graphene sheet. Discussion on the numerical results illustrate that the sensitivity of graphene sensors is in the order of Gigahertz/zeptogram.
66 citations