Abstract
The nonlocal beam equations in the form of differential equation can be solved analytically. After certain assumptions on the nonlocal boundary conditions, the deformations of the Euler-Bernoulli beams governed by the Eringen’s stress-gradient beam equation, the Mindlin’s strain-gradient beam equation, the higher-order beam equation and the truncated-order peridynamic beam equation are solved analytically. Benchmark examples including the simply-supported beam, the clamped-clamped beam and the cantilever beam are discussed.
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Chen, J. (2021). Analytical Solution to Benchmark Examples. In: Nonlocal Euler–Bernoulli Beam Theories. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-030-69788-4_4
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DOI: https://doi.org/10.1007/978-3-030-69788-4_4
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