Effect of Viscoelasticity on the Natural Frequencies of Axially Moving Continua

Özhan, B. Burak; Pakdemi̇rli̇, Mehmet

doi:10.1155/2013/169598

Cited by 5 publications

(2 citation statements)

References 29 publications

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“…Yao and Zhang [5] established the equations of motion for the viscoelastic moving belt by use of the Kelvin-type viscoelastic constitutive law. Ozhan and Pakdemirli [6][7] and Yang and Zhang [8] adopted the Kelvin model containing the partial time derivative for describing the viscoelastic behavior of beam materials. To study the nonlinear vibration of the traveling viscoelastic beams, Ding and Zu [9] , Yan et al [10] , and Tang et al [11] proved that the material time derivative should be contained in the Kelvin model.…”

Section: Introductionmentioning

confidence: 99%

Primary resonance of traveling viscoelastic beam under internal resonance

Ding

Huang

Mao

2016

Appl. Math. Mech.-Engl. Ed.

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Under the 3:1 internal resonance condition, the steady-state periodic response of the forced vibration of a traveling viscoelastic beam is studied. The viscoelastic behaviors of the traveling beam are described by the standard linear solid model, and the material time derivative is adopted in the viscoelastic constitutive relation. The direct multi-scale method is used to derive the relationships between the excitation frequency and the response amplitudes. For the first time, the real modal functions are employed to analytically investigate the periodic response of the axially traveling beam. The undetermined coefficient method is used to approximately establish the real modal functions. The approximate analytical results are confirmed by the Galerkin truncation. Numerical examples are presented to highlight the effects of the viscoelastic behaviors on the steady-state periodic responses. To illustrate the effect of the internal resonance, the energy transfer between the internal resonance modes and the saturation-like phenomena in the steady-state responses is presented.

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Section: Introductionmentioning

confidence: 99%

Primary resonance of traveling viscoelastic beam under internal resonance

Ding

Huang

Mao

2016

Appl. Math. Mech.-Engl. Ed.

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“…The same reasoning applies to the random vibration results as the modal analysis results. In reality, the effects of viscoelasticity reduce the natural frequency of a system [7].…”

Section: Modal Analysis Of Viscoelastic Materialsmentioning

confidence: 99%

Compliant Mechanism to replace a 2D Rotorcraft Landing Gear Mechanism, foreseen to be extended to the VGTM-based Morphing Wing

Khamas

2024

Preprint

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<p>The main goal of this thesis report is to replace an existing 2D mechanism of a dynamic rotorcraft landing gear with a 2D compliant mechanism. The advantage of compliant mechanisms is that they reduce manufacturing and labor costs, along with maintenance costs. This is because a traditional mechanism contains numerous parts while a compliant mechanism does not. Some compliant mechanisms are made of plastics such as Acrylonitrile Butadiene Styrene (ABS) which show material properties known as viscoelastic material properties. In this report the application of viscoelastic material properties into ANSYS is researched and applied for ABS. 4 different designs were investigated that have the potential to replace the dynamic rotorcraft landing gear. The 4 designs include a gripper like design, a four bar linkage design, a pantograph design, and a slider crank design. One of the main parameters studied during the design process was the rotorcraft landing gear slope (γ). The desired slope is 15°, the final design of the 4 bar linkage was 15.6°, the pantograph was 15°, and the slider crank design achieved 18.57°. The gripper design was utilized only for extending the landing gears parallel to the ground instead of perpendicular like the other designs. The 4 bar linkage design achieved the 15.6° value by being 3D printed with Polylactic acid (PLA) instead of ABS which was a less stiff but more elastic material. The report contains multiple types of methodology including FEA parametrization, mathematical modeling, and 3D printing testing. These methodologies were utilized to achieve optimal designs.</p>

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