TY  - JOUR
A1  - Zhang, Yongzheng
T1  - Nonlocal dynamic Kirchhoff plate formulation based on nonlocal operator method
JF  - Engineering with Computers
N2  - In this study, we propose a nonlocal operator method (NOM) for the dynamic analysis of (thin) Kirchhoff plates. The nonlocal Hessian operator is derived based on a second-order Taylor series expansion. The NOM does not require any shape functions and associated derivatives as ’classical’ approaches such as FEM, drastically facilitating the implementation. Furthermore, NOM is higher order continuous, which is exploited for thin plate analysis that requires C1 continuity. The nonlocal dynamic governing formulation and operator energy functional for Kirchhoff plates are derived from a variational principle. The Verlet-velocity algorithm is used for the time discretization. After confirming the accuracy of the nonlocal Hessian operator, several numerical examples are simulated by the nonlocal dynamic Kirchhoff plate formulation.
KW  - Angewandte Mathematik
KW  - nonlocal operator method
KW  - nonlocal Hessian operator
KW  - operator energy functional
KW  - dual-support
KW  - variational principle
Y1  - 2022
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220209-45849
UR  - https://link.springer.com/article/10.1007/s00366-021-01587-1
VL  - 2022
SP  - 1
EP  - 35
PB  - Springer
CY  - London
ER  - 
TY  - JOUR
A1  - Kaltenbacher, Barbara
A1  - Lahmer, Tom
A1  - Mohr, Marcus
A1  - Kaltenbacher, Manfred
T1  - PDE based determination of piezoelectric material tensors
JF  - European Journal of Applied Mathematics
N2  - PDE based determination of piezoelectric material tensors.
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2006
U6  - http://dx.doi.org/10.25643/bauhaus-universitaet.3595
SP  - 383
EP  - 416
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
A1  - Kaltenbacher, Manfred
A1  - Kaltenbacher, Barbara
A1  - Lerch, Reinhard
A1  - Leder, Erich
T1  - Fem-based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials
JF  - IEEE transactions on ultrasonics, ferroelectrics, and frequency control
N2  - Fem-based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials.
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2008
U6  - http://dx.doi.org/10.25643/bauhaus-universitaet.3594
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
A1  - Kaltenbacher, Barbara
A1  - Schulz, V.
T1  - Optimal measurement selection for piezoelectric material tensor identification
JF  - Inverse Problems in Science and Engineering
N2  - Optimal measurement selection for piezoelectric material tensor identification.
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2008
U6  - http://dx.doi.org/10.25643/bauhaus-universitaet.3593
SP  - 369
EP  - 387
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
T1  - Modified Landweber iterations in a multilevel algorithm applied to inverse problems in piezoelectricity
JF  - Journal of Inverse and Ill-posed Problems
N2  - Modified Landweber iterations in a multilevel algorithm applied to inverse problems in piezoelectricity
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2009
SP  - 585
EP  - 593
ER  - 
TY  - JOUR
A1  - Hauck, A.
A1  - Lahmer, Tom
A1  - Kaltenbacher, Manfred
T1  - Enhanced homogenization technique for magnetomechanical systems using the generalized finite element method
JF  - COMPEL: The international journal for computation and mathematics in electrical and electronic engineering
N2  - Enhanced homogenization technique for magnetomechanical systems using the generalized finite element method
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2009
SP  - 935
EP  - 947
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
A1  - Könke, Carsten
A1  - Bettzieche, Volker
T1  - Optimal positioning of sensors for the monitoring of water dams
JF  - WASSERWIRTSCHAFT
N2  - Optimal positioning of sensors for the monitoring of water dams
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2010
SP  - 16
EP  - 19
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
A1  - Könke, Carsten
A1  - Bettzieche, Volker
T1  - Optimale Positionierung von Messeinrichtungen an Staumauern zur Bauwerksüberwachung
JF  - WASSERWIRTSCHAFT
N2  - Optimale Positionierung von Messeinrichtungen an Staumauern zur Bauwerksüberwachung
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2010
SP  - 16
EP  - 16
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
T1  - Crack identification in hydro-mechanical systems with applications to gravity water dams
JF  - Inverse Problems in Science and Engineering
N2  - Crack identification in hydro-mechanical systems with applications to gravity water dams
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2010
SP  - 1083
EP  - 1101
ER  - 
TY  - JOUR
A1  - Stein, Peter
A1  - Lahmer, Tom
A1  - Bock, Sebastian
T1  - Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau
BT  - Sonderdruck‐DFG Graduiertenkolleg
JF  - Bautechnik
N2  - Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2011
SP  - 8
EP  - 11
ER  -