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One‐Dimensional Finite Elements With Arbitrary Cross‐Sectional Displacement Fields

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT This paper introduces an unprecedented unified approach for developing structural theories with an arbitrary kinematic variable over the beam cross‐section. Each of the three displacement variables can be analyzed using an independent expansion function. Both the order of the expansion and the number of terms in each field can be any. That is,
E. Carrera, D. Scano, E. Zappino
wiley +1 more source

On the convergence of a trigonometric integral [PDF]

, 1970
R. K. Mohanty, B. K. Ray
openalex +1 more source

Using Trigonometric Substitution Method to Solve Some Fractional Integral Problems

, 2022
Chii-Huei Yu
openalex +1 more source

Periodic orbits from second order perturbation via rational trigonometric integrals

, 2014
R. Prohens, Joan Torregrosa
openalex +2 more sources

A note on a generalized double series. [PDF]

PLoS One
Reynolds R.
europepmc +1 more source

Contributions to the Integral of the Product of Two Functions in a Trigonometrically Convex Framework

Christophe Chesneau
openalex +1 more source

A symbolic dataset for large language models to solve second kind Fredholm integral equations. [PDF]