A simplified approach to solve quasi-statically moving load problems of elastica using end loaded elastica solution

Pandit, D.; Srinivasan, Sivakumar M.

doi:10.1007/s12046-016-0512-9

Cited by 5 publications

(2 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It may be stated that the relatively more discrepancy observed in this step is primarily due to the change of effective length in the experiment of three-point bending on finite dimensional support which is not considered in the present formulation. This effect may be taken up in a future work in line with the methodology presented in Pandit and Srinivasan (2016). The deviation of prediction of response from the present formulation with experimental data observed in Figure 8 is mostly attributed to non-consideration of change of effective span of the beam between the supports.…”

Section: Numerical Simulationsupporting

confidence: 64%

Simulation of shape memory cycle of a polymeric beam undergoing large deflection using a simple incremental approach

Pandit

Srinivasan

2019

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

Shape memory polymers are a group of polymers which can store a temporary shape at a relatively cold temperature and recover when heated above its glass transition temperature. Various constitutive models exist in literature to simulate the uniaxial shape memory cycle. One such popular model is based on the concept of multiple natural configurations. In the present work, the stress-strain-based model is adapted for bending application by converting it into a scalar moment-curvature-based relationship. The adapted model is used in a numerical framework for large deflection of beams to simulate the shape memory cycle. The employed numerical framework is based on linearising the non-linear governing differential equation and subsequently solving it in steps by numerical integration. The results are presented in suitable non-dimensional form for generality. Since coefficient of thermal expansion plays a minimal role in bending, it is found that the bending results are considerably different from their uniaxial counterpart. The approach may be claimed to be computationally economic as compared to finite element method because here large matrix inversion is avoided.

show abstract

Section: Numerical Simulationsupporting

confidence: 64%

Simulation of shape memory cycle of a polymeric beam undergoing large deflection using a simple incremental approach

Pandit

Srinivasan

2019

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

show abstract

“…In case of beam undergoing large deflection under three point bending, contact locations between beam and supports are shifted from original position to attain equilibrium [13,14,120]. When point load is applied at the mid-span of beam, horizontal components of reaction forces balance each other.…”

Section: Boundary Conditionmentioning

confidence: 99%

A Review on Stress and Deformation Analysis of Curved Beams under Large Deflection

Ghuku

Saha

2017

IJET

View full text Add to dashboard Cite

The paper presents a review on large deflection behavior of curved beams, as manifested through the responses under static loading. The term large deflection behavior refers to the inherent nonlinearity present in the analysis of such beam system response. The analysis leads to the field of geometric nonlinearity, in which equation of equilibrium is generally written in deformed configuration. Hence the domain of large deflection analysis treats beam of any initial configuration as curved beam. The term curved designates the geometry of center line of beam, distinguishing it from the usual straight or circular arc configuration. Different methods adopted by researchers, to analyze large deflection behavior of beam bending, have been taken into consideration. The methods have been categorized based on their application in various formats of problems. The nonlinear response of a beam under static loading is also a function of different parameters of the particular problem. These include boundary condition, loading pattern, initial geometry of the beam, etc. In addition, another class of nonlinearity is commonly encountered in structural analysis, which is associated with nonlinear stress-strain relations and known as material nonlinearity. However the present paper mainly focuses on geometric nonlinear analysis of beam, and analysis associated with nonlinear material behavior is covered briefly as it belongs to another class of study. Research works on bifurcation instability and vibration responses of curved beams under large deflection is also excluded from the scope of the present review paper.

show abstract

Post-buckling involving large deflection of micro-cantilever using the consistent couple stress theory

Patel

Srinivasan

2020

Ann. Solid Struct. Mech.

View full text Add to dashboard Cite

A simplified approach to solve quasi-statically moving load problems of elastica using end loaded elastica solution

Cited by 5 publications

References 5 publications

Simulation of shape memory cycle of a polymeric beam undergoing large deflection using a simple incremental approach

Simulation of shape memory cycle of a polymeric beam undergoing large deflection using a simple incremental approach

A Review on Stress and Deformation Analysis of Curved Beams under Large Deflection

Post-buckling involving large deflection of micro-cantilever using the consistent couple stress theory

Contact Info

Product

Resources

About