All Research Papers Published In Applied Mathematics and Mechanics

Research Article
10.1007/s10483-026-3361-7

Synergistic design of ultra-wide low-frequency continuous bandgap metastructure for audible noise attenuation

Feb 28, 2026
Applied Mathematics and Mechanics
Dongxu Guo + 4 more +4

Research Article
10.1007/s10483-026-3349-7

Motion characteristics of a flexible self-propelled slender particle in a backward-facing step flow

Feb 01, 2026
Applied Mathematics and Mechanics
Yeyu Chen + 3 more +3

Research Article
10.1007/s10483-026-3350-8

Neural boundary shape functions in physics-informed neural networks for discontinuous and high-frequency problems

Feb 01, 2026
Applied Mathematics and Mechanics
P T Nguyen + 2 more +2

Research Article
10.1007/s10483-026-3345-8

Static and dynamic responses of a piezoelectric semiconductor beam under different boundary conditions

Feb 01, 2026
Applied Mathematics and Mechanics
Guoquan Nie + 2 more +2

Research Article
1
10.1007/s10483-026-3336-7

Non-Newtonian rivulet flows on an inclined planar surface applying the 2nd Stokes problem

Jan 01, 2026
Applied Mathematics and Mechanics
S V Ershkov + 2 more +2

Research Article
1
10.1007/s10483-026-3340-7

Moderately large amplitude forced vibration of sandwich functionally graded auxetic beams: an analytical approach

Jan 01, 2026
Applied Mathematics and Mechanics
F M Nasrekani + 1 more +1

Research Article
10.1007/s10483-026-3338-9

Micropolar homogenization constitutive modeling and size effect analysis of lattice materials

Jan 01, 2026
Applied Mathematics and Mechanics
Tingrui Chen + 4 more +4

Research Article
3
10.1007/s10483-025-3319-6

Transition analysis of meta-stable and bi-stable nonlinear behavior in piezoelectric vibration energy harvesting through a pre-shaped curved beam model

Oct 28, 2025
Applied Mathematics and Mechanics
Jiajia Mao + 4 more +4

Research Article
4
10.1007/s10483-025-3301-8

Dynamic modeling of a fully flexible rotor-stator system with bolt joint and rubbing-induced nonlinear vibration

Oct 01, 2025
Applied Mathematics and Mechanics
Hong Guan + 6 more +6

Research Article
10.1007/s10483-025-3306-9

Non-planar vibration characteristics and buckling behaviors of two fluid-conveying pipes coupled with an intermediate spring

Oct 01, 2025
Applied Mathematics and Mechanics
Dali Wang + 3 more +3

Abstract This study investigates the dynamical behavior of two parallel fluid-conveying pipes by developing a non-planar dynamical model of the two pipes coupled with an intermediate spring. A systematic analysis is conducted to evaluate the effects of spring parameters on the non-planar vibration characteristics and buckling behaviors of the coupled system. The nonlinear governing equations are derived with Hamilton’s principle, subsequently discretized through Galerkin’s method, and finally numerically solved by the Runge-Kutta algorithm. Based on the linearized equations, an eigenvalue analysis is performed to obtain the coupled frequencies, modal shapes, and critical flow velocities for buckling instability. Quantitative assessments further elucidate the effects of the spring position and stiffness coefficient on the coupled frequencies and critical flow velocities. Nonlinear dynamic analyses reveal the evolution of buckling patterns and bifurcation behaviors between the lateral displacements of the two pipes and the flow velocity. Numerical results indicate that the intermediate spring increases the susceptibility to buckling instability in the out-of-plane direction compared with the in-plane direction. Furthermore, synchronized lateral displacements emerge in both pipes when the flow velocity of one pipe exceeds the critical threshold. This work is expected to provide a theoretical foundation for the stability assessment and vibration analysis in coupled fluid-conveying pipe systems.