An alpha modification of Newmark's method
From MaRDI portal
Publication:3883717
DOI10.1002/nme.1620151011zbMath0441.73106OpenAlexW2011527887MaRDI QIDQ3883717
No author found.
Publication date: 1980
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.1620151011
Related Items
Implicit domain decomposition methods for coupled analysis of offshore platforms, Two Efficient Time-Marching Explicit Procedures Considering Spatially/Temporally-Defined Adaptive Time-Integrators, A Simple Explicit–Implicit Time-Marching Technique for Wave Propagation Analysis, Convergence results of a heterogeneous asynchronous newmark time integrators, Energy conservation and dissipation properties of time‐integration methods for nonsmooth elastodynamics with contact, C1‐continuous space‐time discretization based on Hamilton's law of varying action, A re‐evaluation of overshooting in time integration schemes: The neglected effect of physical damping in the starting procedure, Load aliasing—A new additional test concept for effective control of nonhomogeneous high‐frequency behavior in linear multistep methods, Three optimal families of three‐sub‐step dissipative implicit integration algorithms with either second, third, or fourth‐order accuracy for second‐order nonlinear dynamics, On designing and developing single‐step second‐order implicit methods with dissipation control and zero‐order overshoots via subsidiary variables, Generalized‐α scheme in the PFEM for velocity‐pressure and displacement‐pressure formulations of the incompressible Navier–Stokes equations, Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: accuracy analysis based on an analytical framework, Optimized Gauss-Legendre-Hermite 2-point (O-GLH-2P) method for nonlinear time-history analysis of structures, An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: total and updated Lagrangian formulations, Automatic variationally stable analysis for finite element computations: transient convection-diffusion problems, Development of composite sub-step explicit dissipative algorithms with truly self-starting property, Higher order accurate discontinuous and continuous p‐Galerkin methods for linear elastodynamics, Time integration in the context of energy control and locking-free finite elements, Collocation methods with controllable dissipation for linear dynamics, The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications, Application of the generalized-\(\alpha\) method to the time integration of the cable dynamics equations, Efficient and reliable solutions of static and dynamic nonlinear structural mechanics problems by an integrated numerical approach using DQFEM and direct time integration with accelerated equilibrium iteration schemes, Unnamed Item, Noniterative Integration Algorithms with Controllable Numerical Dissipations for Structural Dynamics, The Cosserat Point Element as an Accurate and Robust Finite Element Formulation for Implicit Dynamic Simulations, A family of noniterative integration methods with desired numerical dissipation, Unnamed Item, Performance of implicit A-stable time integration methods for multibody system dynamics, Improving stability domains of the implicit higher order accuracy method, Design of order-preserving algorithms for transient first-order systems with controllable numerical dissipation, A mixed u-p edge-based smoothed particle finite element formulation for viscous flow simulations, Thin Solids for Fluid-Structure Interaction, Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics, Practical performance of the \(\theta _ 1\)-method and comparison with other dissipative algorithms in structural dynamics, An upwind vertex centred finite volume solver for Lagrangian solid dynamics, Unnamed Item, Convergence of generalized-\(\alpha\) time integration for nonlinear systems with stiff potential forces, Application of the digital signal processing methodology (DSPM) for the design of time integration formulae, Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics, A locally extended finite element method for the simulation of multi-fluid flows using the particle level set method, Differential quadrature time element method for structural dynamics, Energy conservation in Newmark based time integration algorithms, Analysis of error estimators for the semidiscrete equations of linear solid and structural dynamics, Theoretical and numerical study of the blow up in a nonlinear viscoelastic problem with variable-exponent and arbitrary positive energy, A simple time‐step control scheme, Explicit time integration algorithms for structural dynamics with optimal numerical dissipation, Analysis of multibody systems experiencing large elastic deformations, A family of single-step Houbolt time integration algorithms for structural dynamics, Constraint energy momentum algorithm and its application to nonlinear dynamics of shells, Extrapolated Galerkin time finite elements, A stabilised Petrov-Galerkin formulation for linear tetrahedral elements in compressible, nearly incompressible and truly incompressible fast dynamics, A first order hyperbolic framework for large strain computational solid dynamics. I: Total Lagrangian isothermal elasticity, A simple and effective new family of time marching procedures for dynamics, On the use of some numerical damping methods of spurious oscillations in the case of elastic wave propagation, Two FETI-based heterogeneous time step coupling methods for Newmark and \(\alpha\)-schemes derived from the energy method, The unimportance of the spurious root of time integration algorithms for structural dynamics, Convolution finite element method: an alternative approach for time integration and time-marching algorithms, Computational algorithms for transient analysis: The burden of weight and consequences towards formalizing discrete numerically assigned [DNA algorithmic markers: \(W_p\)-family], A novel time-marching formulation for wave propagation analysis: the adaptive hybrid explicit method, Higher-order accurate implicit time integration schemes for transport problems, Accuracy of one-step integration schemes for damped/forced linear structural dynamics, An explicit family of time marching procedures with adaptive dissipation control, A general technique to improve stability property for a structure-dependent integration method, Heterogeneous asynchronous time integrators for computational structural dynamics, A novel design of an isochronous integration [iIntegration framework for first/second order multidisciplinary transient systems], A NURBS-based finite element model applied to geometrically nonlinear elastodynamics using a corotational approach, Assessment of explicit and semi-explicit classes of model-based algorithms for direct integration in structural dynamics, An octree pattern-based massively parallel PCG solver for elasto-static and dynamic problems, An enhanced explicit-implicit time-marching formulation based on fully-adaptive time-integration parameters, An energy conservation algorithm for nonlinear dynamic equation, Optimal solid shells for nonlinear analyses of multilayer composites. II: Dynamics., A suite of second-order composite sub-step explicit algorithms with controllable numerical dissipation and maximal stability bounds, Time Integration Method Based on Discrete Transfer Function, Nonlinear dynamic analysis of shells with the triangular element TRIC., An overview and recent advances in vector and scalar formalisms: space/time discretizations in computational dynamics -- a unified approach, An impulse based substructuring method for coupling impulse response functions and finite element models, A theory of development and design of generalized integration operators for computational structural dynamics, An exact conserving algorithm for nonlinear dynamics with rotational DOFs and general hyperelasticity. II: Shells, Generalized energy-momentum method for nonlinear adaptive shell dynamics, RI-IGABEM based on generalized-\(\alpha\) method in 2D and 3D elastodynamic problems, A three-time-level a posteriori error estimator for GS4-2 framework: adaptive time stepping for second-order transient systems, An upwind cell centred total Lagrangian finite volume algorithm for nearly incompressible explicit fast solid dynamic applications, An adaptive semi-explicit/explicit time marching technique for nonlinear dynamics, A second-order accurate three sub-step composite algorithm for structural dynamics, Enhanced studies on the composite sub-step algorithm for structural dynamics: the Bathe-like algorithm, A novel single-step explicit time-marching procedure with improved dissipative, dispersive and stability properties, The role of time integration in suspension bridge dynamics, Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics, Predictor‐corrector procedures for pseudo‐dynamic tests, BDF-like methods for nonlinear dynamic analysis, Direct time integration algorithm with controllable numerical dissipation for structural dynamics: two-step lambda method, Unnamed Item, Higher-order generalized-\( \alpha\) methods for hyperbolic problems, Split generalized-\( \alpha\) method: a linear-cost solver for multi-dimensional second-order hyperbolic systems, A multi-level explicit time-marching procedure for structural dynamics and wave propagation models, Investigation of WBZ‐α method for solving nonlinear systems, A variationally consistent framework for the design of integrator and updates of generalized single step representations for structural dynamics, Multi-time-step domain coupling method with energy control, Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods, A framework of time integration methods for nonsmooth systems with unilateral constraints, An improved implicit method for mechanical systems with set-valued friction, Algorithms by Design: Part I—On the Hidden Point Collocation Within LMS Methods and Implications for Nonlinear Dynamics Applications, An implicit family of time marching procedures with adaptive dissipation control, An explicit method with improved stability property, Modified differential transformation method for solving nonlinear dynamic problems, Development of a stabilised Petrov-Galerkin formulation for conservation laws in Lagrangian fast solid dynamics, A novel family of explicit time marching techniques for structural dynamics and wave propagation models, An enhanced explicit time-marching technique for wave propagation analysis considering adaptive time integrators, A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method, Time-domain goal-oriented adaptivity using pseudo-dual error representations, An unusual amplitude growth property and its remedy for structure-dependent integration methods, An alternative to the Bathe algorithm, An exact conserving algorithm for nonlinear dynamics with rotational DOFs and general hyperelasticity. I: Rods, A partitioned model for fluid-structure interaction problems using hexahedral finite elements with one-point quadrature, Algorithms by Design: Part II—A Novel Normalized Time Weighted Residual Methodology and Design of a Family of Symplectic-Momentum Conserving Algorithms for Nonlinear Structural Dynamics, Algorithms by Design: Part III—A Novel Normalized Time Weighted Residual Methodology and Design of Optimal Symplectic-Momentum Based Controllable Numerical Dissipative Algorithms for Nonlinear Structural Dynamics, Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics, A unified arbitrary Lagrangian-Eulerian model for fluid-structure interaction problems involving flows in flexible channels, Automatic time step control algorithms for structural dynamics., A FAST AND ACCURATE STEP-BY-STEP SOLUTION PROCEDURE FOR DIRECT INTEGRATION, Semi-implicit fluid-structure interaction in biomedical applications, An automatic time-stepping algorithm for dynamic problems, An explicit predictor/multicorrector time marching with automatic adaptivity for finite-strain elastodynamics, An efficient hybrid implicit time integration method with high accuracy for linear and nonlinear dynamics, The Nørsett time integration methodology for finite element transient analysis, A robust composite time integration scheme for snap-through problems, Time discretized operators. I: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics.