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References from Direct and adjoint sensitivity analysis of large flexible multibody systems using reduced multibody system transfer matrix method. Local targets link to admitted publications; unresolved targets remain external evidence.
Flexible multibody dynamics: review of past and recent developments
10.1023/a:1009773505418 · 1997 · External reference
Dynamic topology optimization of flexible multibody systems
10.1007/s11071-024-09619-3 · 2024 · External reference
A review of flexible multibody dynamics for gradient-based design optimization
10.1007/s11044-021-09802-z · 2021 · External reference
A semi-analytical approach to sensitivity analysis with flexible multibody dynamics of a morphing forward wing section
10.1007/s11044-023-09886-9 · 2023 · External reference
An analytical approach to the sensitivity analysis of semi-recursive ODE formulations for multibody dynamics
2025 · External reference
Computational aspects of sensitivity calculations in linear transient structural analysis
10.1007/bf01743074 · 1991 · External reference
Sensitivity analysis of multibody dynamic systems modeled by ODEs and DAEs
2014 · External reference
Analytical derivatives of flexible multibody dynamics with the floating frame of reference formulation
10.1007/s11044-022-09858-5 · 2024 · External reference
Sensitivity analysis of RIGID-flexible multibody systems
10.1023/a:1009790202712 · 1997 · External reference
A direct differentiation method based on forward recursive formulation for flexible multibody system sensitivity analysis
10.1016/j.compstruc.2024.107465 · 2024 · External reference
Recursive inverse dynamics sensitivity analysis of open-tree-type multibody systems
10.1007/s11071-023-08433-7 · 2023 · External reference
An efficient direct differentiation approach for sensitivity analysis of flexible multibody systems
10.1007/s11044-009-9176-0 · 2010 · External reference
Hamiltonian direct differentiation and adjoint approaches for multibody system sensitivity analysis
10.1002/nme.6512 · 2020 · External reference
Sensitivity analysis of constrained flexible multibody systems with stability considerations
10.1016/0094-114x(96)00003-1 · 1996 · External reference
Second order adjoint sensitivity analysis of multibody systems described by differential-algebraic equations
10.1007/s11044-007-9080-4 · 2007 · External reference
Discrete adjoint method for the sensitivity analysis of flexible multibody systems
2019 · External reference
Structural sensitivity analysis of flexible multibody systems modeled with the floating frame of reference approach using the adjoint variable method
10.1007/s11044-016-9540-9 · 2017 · External reference
First order sensitivity analysis of flexible multibody systems using absolute nodal coordinate formulation
10.1007/s11044-011-9269-4 · 2012 · External reference
An efficient adjoint sensitivity analysis of flexible multibody systems for a level-set-based topology optimization
2021 · External reference
A semi-analytical approach to sensitivity analysis with flexible multibody dynamics of a morphing forward wing section
10.1007/s11044-023-09886-9 · 2023 · External reference
Semi-analytical sensitivity analysis for multibody system dynamics described by differential–algebraic equations
10.2514/1.j059355 · 2021 · External reference
Order-(n+m) direct differentiation determination of design sensitivity for constrained multibody dynamic systems
10.1007/s00158-003-0336-1 · 2004 · External reference
Performance of automatic differentiation tools in the dynamic simulation of multibody systems
10.1016/j.advengsoft.2014.03.002 · 2014 · External reference
A hybrid direct-automatic differentiation method for the computation of independent sensitivities in multibody systems
10.1002/nme.4804 · 2014 · External reference
Fast derivatives of RIGID body dynamics for control, optimization and estimation
2016 · External reference
Automatic differentiation of RIGID body dynamics for optimal control and estimation
10.1080/01691864.2017.1395361 · 2017 · External reference
Unresolved reference
2008 · External reference
Multibody system transfer matrix method: the past, the present, and the future
10.1002/msd2.12037 · 2022 · External reference
Reduced multibody system transfer matrix method using decoupled hinge equations
10.1002/msd2.12026 · 2021 · External reference
A fast calculation method for sensitivity analysis based on multibody system transfer matrix method
2024 · External reference
Sensitivity analysis method for frequency response function based on extended transfer matrix method for linear multibody systems
2022 · External reference
Eigenvalue sensitivity analysis based on the transfer matrix method
10.1002/msd2.12016 · 2021 · External reference
Direct differentiation method for sensitivity analysis based on transfer matrix method for multibody systems
10.1002/nme.5910 · 2018 · External reference
Direct differentiation sensitivity analysis based on reduced multibody system transfer matrix method
2023 · External reference
Automatic differentiation for sensitivity analysis based on reduced multibody system transfer matrix method
10.1007/s11071-025-11883-w · 2026 · External reference
Implicit numerical integration for design sensitivity analysis of RIGID multibody systems
10.1081/sme-200045801 · 2005 · External reference
Runge-kutta based procedure for optimal control of differential—algebraic equations
2006 · External reference
Implicit integration with adjoint sensitivity propagation for optimal control problems involving differential-algebraic equations
2017 · External reference
A matrix-free Newton–krylov parallel implicit implementation of the absolute nodal coordinate formulation
2014 · External reference
Subspace adaptivity in rosenbrock–krylov methods for the time integration of initial value problems
10.1016/j.cam.2020.113188 · 2021 · External reference
Analytical jacobian-vector products for the matrix-free time integration of partial differential equations
10.1016/j.cam.2016.05.002 · 2017 · External reference
Study on the stress-stiffening effect and modal synthesis methods for the dynamics of a spatial curved beam
10.1115/1.4033515 · 2016 · External reference
Dynamics of flexible beams undergoing overall motions
10.1006/jsvi.1995.0139 · 1995 · External reference
TR-BDF2 for stable American option pricing
10.21314/jcf.2014.289 · 2014 · External reference
Dynamics of a cantilever beam attached to a moving base
10.2514/3.20195 · 1987 · External reference
Meshless methods applied to the dynamic analysis for hub-beam system
2022 · External reference
Eigenvalue sensitivity analysis based on the transfer matrix method
10.1002/msd2.12016 · ExternalCitation · doi-reference
Reduced multibody system transfer matrix method using decoupled hinge equations
10.1002/msd2.12026 · ExternalCitation · doi-reference
Multibody system transfer matrix method: the past, the present, and the future
10.1002/msd2.12037 · ExternalCitation · doi-reference
A hybrid direct-automatic differentiation method for the computation of independent sensitivities in multibody systems
10.1002/nme.4804 · ExternalCitation · doi-reference
Direct differentiation method for sensitivity analysis based on transfer matrix method for multibody systems
10.1002/nme.5910 · ExternalCitation · doi-reference
Hamiltonian direct differentiation and adjoint approaches for multibody system sensitivity analysis
10.1002/nme.6512 · ExternalCitation · doi-reference
Dynamics of flexible beams undergoing overall motions
10.1006/jsvi.1995.0139 · ExternalCitation · doi-reference
Computational aspects of sensitivity calculations in linear transient structural analysis
10.1007/bf01743074 · ExternalCitation · doi-reference
Order-(n+m) direct differentiation determination of design sensitivity for constrained multibody dynamic systems
10.1007/s00158-003-0336-1 · ExternalCitation · doi-reference
Second order adjoint sensitivity analysis of multibody systems described by differential-algebraic equations
10.1007/s11044-007-9080-4 · ExternalCitation · doi-reference
An efficient direct differentiation approach for sensitivity analysis of flexible multibody systems
10.1007/s11044-009-9176-0 · ExternalCitation · doi-reference
First order sensitivity analysis of flexible multibody systems using absolute nodal coordinate formulation
10.1007/s11044-011-9269-4 · ExternalCitation · doi-reference
Structural sensitivity analysis of flexible multibody systems modeled with the floating frame of reference approach using the adjoint variable method
10.1007/s11044-016-9540-9 · ExternalCitation · doi-reference
A review of flexible multibody dynamics for gradient-based design optimization
10.1007/s11044-021-09802-z · ExternalCitation · doi-reference
Analytical derivatives of flexible multibody dynamics with the floating frame of reference formulation
10.1007/s11044-022-09858-5 · ExternalCitation · doi-reference
A semi-analytical approach to sensitivity analysis with flexible multibody dynamics of a morphing forward wing section
10.1007/s11044-023-09886-9 · ExternalCitation · doi-reference
Recursive inverse dynamics sensitivity analysis of open-tree-type multibody systems
10.1007/s11071-023-08433-7 · ExternalCitation · doi-reference
Dynamic topology optimization of flexible multibody systems
10.1007/s11071-024-09619-3 · ExternalCitation · doi-reference
Automatic differentiation for sensitivity analysis based on reduced multibody system transfer matrix method
10.1007/s11071-025-11883-w · ExternalCitation · doi-reference
Sensitivity analysis of constrained flexible multibody systems with stability considerations
10.1016/0094-114x(96)00003-1 · ExternalCitation · doi-reference
Performance of automatic differentiation tools in the dynamic simulation of multibody systems
10.1016/j.advengsoft.2014.03.002 · ExternalCitation · doi-reference
Analytical jacobian-vector products for the matrix-free time integration of partial differential equations
10.1016/j.cam.2016.05.002 · ExternalCitation · doi-reference
Subspace adaptivity in rosenbrock–krylov methods for the time integration of initial value problems
10.1016/j.cam.2020.113188 · ExternalCitation · doi-reference
A direct differentiation method based on forward recursive formulation for flexible multibody system sensitivity analysis
10.1016/j.compstruc.2024.107465 · ExternalCitation · doi-reference
Flexible multibody dynamics: review of past and recent developments
10.1023/a:1009773505418 · ExternalCitation · doi-reference
Sensitivity analysis of RIGID-flexible multibody systems
10.1023/a:1009790202712 · ExternalCitation · doi-reference
Automatic differentiation of RIGID body dynamics for optimal control and estimation
10.1080/01691864.2017.1395361 · ExternalCitation · doi-reference
Implicit numerical integration for design sensitivity analysis of RIGID multibody systems
10.1081/sme-200045801 · ExternalCitation · doi-reference
Study on the stress-stiffening effect and modal synthesis methods for the dynamics of a spatial curved beam
10.1115/1.4033515 · ExternalCitation · doi-reference
TR-BDF2 for stable American option pricing
10.21314/jcf.2014.289 · ExternalCitation · doi-reference
Semi-analytical sensitivity analysis for multibody system dynamics described by differential–algebraic equations
10.2514/1.j059355 · ExternalCitation · doi-reference
Dynamics of a cantilever beam attached to a moving base
10.2514/3.20195 · ExternalCitation · doi-reference
