### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 1217-1226 |

Numero di pagine | 10 |

Rivista | COMPUTERS & STRUCTURES |

Volume | 82 |

Stato di pubblicazione | Published - 2004 |

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### All Science Journal Classification (ASJC) codes

- Civil and Structural Engineering
- Modelling and Simulation
- Materials Science(all)
- Mechanical Engineering
- Computer Science Applications

### Cita questo

*COMPUTERS & STRUCTURES*,

*82*, 1217-1226.

**A correction method for dynamic analysis of linear systems.** / Di Paola, Mario.

Risultato della ricerca: Article

*COMPUTERS & STRUCTURES*, vol. 82, pagg. 1217-1226.

}

TY - JOUR

T1 - A correction method for dynamic analysis of linear systems

AU - Di Paola, Mario

PY - 2004

Y1 - 2004

N2 - This paper proposes an analytical method to improve the accuracy of the dynamic response of classically damped linear systems, as given by a standard truncated modal analysis. Upon computing the first m undamped modes of a n-degree-of-freedom system, two sets of equations in the Rn nodal space are built, which are uncoupled and govern the contribution to the response of the m computed modes and the remaining (n−m) unknown modes, respectively. The first set is solved in the Rm modal space by using the m available modes; the second set is solved in a reduced R(n−m) nodal space, without computing additional modes. Specifically, it is shown that the particular solution of the second set of equations may be obtained by a series expansion involving repetitive time derivatives of the first-order static solution. The convergence conditions of such a series are discussed and proved on a rigorous basis. Numerical applications are also presented to demonstrate the effectiveness of the proposed method.

AB - This paper proposes an analytical method to improve the accuracy of the dynamic response of classically damped linear systems, as given by a standard truncated modal analysis. Upon computing the first m undamped modes of a n-degree-of-freedom system, two sets of equations in the Rn nodal space are built, which are uncoupled and govern the contribution to the response of the m computed modes and the remaining (n−m) unknown modes, respectively. The first set is solved in the Rm modal space by using the m available modes; the second set is solved in a reduced R(n−m) nodal space, without computing additional modes. Specifically, it is shown that the particular solution of the second set of equations may be obtained by a series expansion involving repetitive time derivatives of the first-order static solution. The convergence conditions of such a series are discussed and proved on a rigorous basis. Numerical applications are also presented to demonstrate the effectiveness of the proposed method.

UR - http://hdl.handle.net/10447/26752

M3 - Article

VL - 82

SP - 1217

EP - 1226

JO - COMPUTERS & STRUCTURES

JF - COMPUTERS & STRUCTURES

SN - 0045-7949

ER -