Title
Behavior of Axially Moving Nanobeams With Transverse Oscillation: Role Of Lower And Higher Order Differential Equation With Boun,Used
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Transverse free vibrations of axially moving nanobeams subjected to axial tension are studied based on nonlocal stress elasticity theory. A lower and higherorder differential equation of motion is derived from the D'Alembert principle with corresponding lowerorder and higherorder, nonclassical boundary conditions. Effects of nonlocal nanoscale, dimensionless axial velocity, density and axial tension on natural frequencies are presented and discussed through numerical examples for both lower and higher order differential equation of transverse motion. It is found that these factors have great influence on the dynamic behaviour of an axially moving nanobeam. In particular, nonlocal effect softens the system, in lower order case and the nonlocal effect harden the system, in higher order case. And also found that higher order differential equation of transverse motion with higher nonclassical boundary conditions are more effective where increasing nonlocal stress effects increasing natural frequency in fact induce increased nanostructural stiffness,i.e.,decreasing deflection.
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We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
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To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
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Visa, MasterCard, American Express, Paypal, Shopify Payments, Shop Pay and more.