Concepedia

A comparison of the Bolotin and incremental harmonic balance methods in the dynamic stability analysis of an Euler–Bernoulli nanobeam based on the nonlocal strain gradient theory and surface effects

Pezhman Sourani, Mohammad Hashemian, Mostafa Pirmoradian, Davood Toghraie

Mechanics of Materials · 2020 · 51 citations · 35 references

Concepts

EngineeringMechanical EngineeringComputational MechanicsStructural DynamicsVibrationBeam TheoryDynamic Response AnalysisDynamic Structural ResponseNanomechanicsSolid Mechanics ApplicationsVibration AnalysisDynamic Beam AnalysisDynamic StabilityDynamic Stability AnalysisEuler-bernoulli Beam ModelingHarmonic Balance AnalysisNanobeam TheoryStrain GradientSurface Effects

References

35

On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves

A. Cemal Eringen · Journal of Applied Physics · 1983 · 4.7K citations

Natural Sciences, Mathematics, Physics +13

Micro-structure in linear elasticity

R. D. Mindlin · Archive for Rational Mechanics and Analysis · 1964 · 3.9K citations

Natural Sciences, Mechanical Engineering, Physics +7

A continuum theory of elastic material surfaces

Morton E. Gurtin, A. Ian Murdoch · Archive for Rational Mechanics and Analysis · 1975 · 3.1K citations

Natural Sciences, Materials Engineering, Materials Science +14

Nonlocal Continuum Field Theories

A. Cental Eringen, JL Wegner · Applied Mechanics Reviews · 2003 · 2.6K citations

Natural Sciences, Materials Science, Physics +17

The Dynamic Stability of Elastic Systems

V. V. Bolotin, Heather L. Armstrong · American Journal of Physics · 1965 · 1.1K citations

Engineering, Mechanical Engineering, Physics +14